# Practice Test

Q1) The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h. Show Answer

Q2) Walking at 3/4 of his normal speed, Abhishek is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and his office is Show Answer

Q3) Ram and Bharat travel the same distance at the rate of 6 km per hour and 10 km per hour respectively. If Ram takes 30 minutes longer than Bharat, the distance traveled by each is Show Answer

Q4) Two trains for Mumbai leave Delhi at 6 a.m. and 6 : 45 a.m. and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together Show Answer

Q5) Two trains, Calcutta Mail and Bombay Mail, start at the same time from stations Kolkata and Mumbai respectively towards each other. After passing each other, they take 12 hours and 3 hours to reach Mumbai and Kolkata respectively. If the Calcutta Mail is moving at the speed of 48 km/h, the speed of the Bombay Mail is Show Answer

Q6) Shyam's house, his office and his gym are all equi-distant from each other. The distance between any 2 of them is 4 km. Shyam starts walking from his gym in a direction parallel to the road connecting his office and his house and stops when he reaches a point directly east of his office. He then reverses direction and walks till he reaches a point directly south of his office. The total distance walked by Shyam is Show Answer

Q7) Lonavala and Khandala are two stations 600 km apart. A train starts from Lonavala and moves towards Khandala at the rate of 25 km/h. After two hours, another train starts from Khandala at the rate of 35 km/h. How far from Lonavala will they will cross each other? Show Answer

Q8) Walking at 3/4 of his normal speed, a man takes 2(1/2) hours more than the normal time. Find the normal time. Show Answer

Q9) Alok walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways? Show Answer

Q10) Sambhu beats Kalu by 30 meters or 10 seconds. How much time was taken by Sambhu to complete a race 1200 meters. Show Answer

Q11) What is the time taken by Chandu to cover a distance of 360 km by a motorcycle moving at a speed of 10 m/s Show Answer

Q12) Without stoppage, a train travels a certain distance with an average speed of 60 km/h, and with stoppage, it covers the same distance with an average speed of 40 km/h. On an average, how many minutes per hour does the train stop during the journey? Show Answer

Q13) Rajdhani Express travels 650 km in 5 h and another 940 km in 10 h. What is the average speed of train? Show Answer

Q14) Rishikant, during his journey, travels for 20 minutes at a speed of 30 km/h, another 30 minutes at a speed of 50 km/h, and 1 hour at a speed of 50 km/h and 1 hour at a speed of 60 km/h. What is the average velocity? Show Answer

Q15) Narayan Murthy walking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance of his college from his house. Show Answer

Q16) Jayshree goes to office at a speed of 6 km/h and returns to her home at a speed of 4 km/h. If she takes 10 hours in all, what is the distance between her office and her home? Show Answer

Q17) A motor car does a journey in 17.5 hours, covering the first half at 30 km/h and the second half at 40 km/h. Find the distance of the journey. Show Answer

Q18) Sujit covers a distance in 40 minutes if he drives at a speed of 60 kilometers per hour on an average. Find the speed at which he must drive at to reduce the time of the journey by 25%? Show Answer

Q19) Manish travels a certain distance by car at the rate of 12 km/h and walks back at the rate of 3 km/h. The whole journey took 5 hours. What is the distance he covered on the car? Show Answer

Q20) A railway passenger counts the telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50 meters. What will be his count in 4 hours, if the speed of the train is 45 km per hour. Show Answer

Q21) Two trains A and B start simultaneously in the opposite direction from two points A and B and arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate does the second train B travel if the first train travels at 80 km per hour. Show Answer

Q22) Vinay fires two bullets from the same place at an interval of 12 minutes but Raju sitting in a train approaching the place hears the second report 11 minutes 30 seconds after the first. What is the approximate speed of train (if sound travels at the speed of 330 meter per second)? Show Answer

Q23) A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/h in the same direction. The pedestrian could see the car for 6 minutes and it was visible to him up to a distance of 0.6 km. What was the speed of the car? Show Answer

Q24) Harsh and Vihay move towards Hosur starting from IIM, Bangalore, at a speed of 40 km/h and 60 km/h respectively. If Vijay reaches Hosur 200 minutes earlier then Harsh, what is the distance between IIM, Bangalore, and Hosur? Show Answer

Q25) A journey of 192 km takes 2 hours less by a fast train than by a slow train. If the average speed of the slow train be 16 kmph less than that of fast train, what is the average speed of the faster train. Show Answer

Q26) A passenger train takes 2 h less for a journey of 300 kilometers if its speed is increased by 5 kmph over its usual speed. Find the usual speed. Show Answer

Q27) If Arun had walked 1 km/h faster, he would have taken 10 miuntes less to walk 2 kilometer. What is Arun's speed of walking. Show Answer

Q28) A plane left half an hour later than the scheduled time and in order to reach its destination 1500 kilometer away in time, it has to increase its speed by 33.33 per cent over its usual speed. Find its increased speed. Show Answer

Q29) A train moves at a constant speed of 120 km/h for one kilometer and at 40 kmph for the next one kilometer. What is the average speed of the train. Show Answer

Q30) A cyclist moving on a circular track of radius 100 meters completes one revolution in 2 minutes. What is the average speed of cyclist (approximately)? Show Answer

Q31) A person traveled a distance of 200 kilometer between two cities by a car covering the first quarter of the journey at a constant speed of 40 km/h and the remaining three quarters at a constant speed of x km/h. If the average speed of the person for the entire journey was 53.33 km/h what is the value of x? Show Answer

Q32) A car travels 1/3 of the distance on a straight road with a velocity of 10 km/h, the next 1/3 with a velocity of 20 km/h and the last 1/3 with a velocity of 60 km/h. What is the average velocity of the car for the whole journey? Show Answer

Q33) Two cars started simultaneously toward each other from town A and B, that are 480 km apart. It took the first car traveling from A to B 8 hours to cover the distance and the second car traveling from B to A 12 hours. Determine at what distance from A the two cars meet. Show Answer

Q34) Walking at 3/4 of his usual speed, a man is 16 minutes late for his office. The usual time taken by him to cover that distance is Show Answer

Q35) A and B travel the same distance at the rate of 8 kilometer and 10 kilometer an hour respectively. If A takes 30 minutes longer than B, the distance traveled by B is? Show Answer

Q36) Two trains for Patna leave Delhi at 6 a.m. and 6 : 45 a.m. and travel at 98 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains meet? Show Answer

Q37) Two trains A and B start from station X to Y, Y to X respectively. After passing each other, they take 12 hours and 3 hours to reach Y and X respectively. If train A is moving at the speed of 48 km/h, the speed of train B is Show Answer

Q38) X and Y are two stations 600 km apart. A train starts from X and moves towards Y at the rate of 25 km/h. Another train starts from Y at the rate of 35 km/h. How far from X they will cross each other. Show Answer

Q39) A starts from a point that is on the circumference of a circle, moves 600 meter in the North direction and then again moves 800 meter East and reaches a point diametrically opposite the starting point. Find the diameter of the circle? Show Answer

Q40) Ram and Shyam run a race of 2000 m. First, Ram gives Shyam a start of 200 m and beats him by 30 s. Next, Ram gives Shyam a start of 3 min and is beaten by 1000 meters. Find the time in minutes in which Ram and Shyam can run the race separately. Show Answer

Q41) A motorboat went downstream for 28 km and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow. Show Answer

Q42) A train requires 7 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 378 meters long. Find the speed of the train. Show Answer

Q43) A boat sails downstream from point A to point B, which is 10 km away from A, and then returns to A. If the actual speed of the boat (in still water) is 3 km/h, the trip from A to B takes 8 hours less than that from B to A. What must the actual speed of the boat for the trip from A to B take exactly 100 minutes? Show Answer

Q44) A boat sails down the river for 10 km and then up the river for 6 km. The speed of the river flow is 1 km/h. What should be the minimum speed of the boat for the trip to take a maximum of 4 hours? Show Answer

Q45) A man rows 6 km/h in still water. If the river is running at 3 km per hour, it takes him 45 minutes to row to a place and back. How far is the place? Show Answer

Q46) A boat goes 40 km upstream in 8 h and a distance of 49 km downstream in 7 h. The speed of the boat in still water is Show Answer

Q47) Two trains are running on parallel lines in the same direction at speeds of 40 kmph and 20 kmph respectively. The faster train crosses a man in the second train in 36 seconds. The length of the faster train is Show Answer

Q48) The speed of the boat in still water is 12 km/h and the speed of the stream is 2 km/h. A distance of 8 km, going upstream, is covered in Show Answer

Q49) A boat goes 15 km upstream in 80 minutes. The speed of the stream is 5 km/h. The speed of the boat in still water is Show Answer

Q50) In a stream, B lies in between A and C such that it is equidistant from both A and C. A boat can go from A to B and back in 6 h 30 minutes while it goes from A to C in 9 h. How long would it take to go from C to A? Show Answer

Q51) Two trains pass each other on parallel lines. Each train is 100 meters long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions they pass each other completely in 10 seconds. Find the speed of the slower train in km/h. Show Answer

Q52) Vinay runs 100 meters in 20 seconds and Ajay runs the same distance in 25 seconds. By what distance will Vinay beat Ajay in a hundred meter race? Show Answer

Q53) In a 100 m race, Shyam runs at 1.66 m/s. If Shyam gives Sujit a start of 4 m and still beats him by 12 seconds, what is Sujits speed? Show Answer

Q54) At a game of billiards, A can give B 15 points in 60 and A can give C 20 in 60. How many points can B give C in a game of 90? Show Answer

Q55) In a 500 m race, the ratio of speed of two runners Vinay and Shyam is 3 : 4. If Vinay has a start of 140 m then Vinay wins by Show Answer

Q56) How many seconds will a caravan 120 meters long running at the rate 10 m/s take to pass a standing boy. Show Answer

Q57) Two trains are traveling in the same direction at 50 km/h and 30 km/h respectively. The faster train crosses a man in the slower train in 18 seconds. Find the length of the faster train. Show Answer

Q58) Two train for Howrah leave Muzaffarpur at 8:30 a.m. and 9:00 a.m. respectively and travel at 60 km/h and 70 km/h respectively. How may kilometers from Muzaffarpur will the two trains meet? Show Answer

Q59) Without stoppage, a train travels at an average speed of 75 km/h and with stoppages it covers the same distance at an average speed of 60 km/h. How many minutes per hour does the train stop? Show Answer

Q60) A boat rows 16 km up the stream and 30 km downstream taking 5 h each time. The velocity of the current. Show Answer

Q61) Vijay can row a certain distance downstream in 6 h and return the same distance in 9 h. If the stream flows at the rate of 3 km/h, find the speed of Vijay in still water. Show Answer

Q62) Subbu can row 6 km/h in still water. When the river is running at 1.2 km/h, it takes him 1 hour to row to a place and back. How far in the place? Show Answer

Q63) A dog is passed by a train in 8 seconds. Find the length of the train if its speed is 36 kmph. Show Answer

Q64) A lazy man can row upstream at 16 km/h and downstream at 22 km/h. Find the man's rate in still water (in kmph). Show Answer

Q65) A man can row 30 km upstream and 44 km downstream in 10 hours. It is also known that he can row 40 km upstream and 55 km downstream in 13 hours. Find the speed of the man in still water. Show Answer

Q66) In a stream that is running at 2 km/h, a man goes 10 km upstream and comes back to the starting point in 55 minutes. Find the speed of the man in still water. Show Answer

Q67) A man goes down stream at x km/h and upstream at y km/h. The speed of the boat in still water is Show Answer

Q68) The length of the minutes hand of a clock is 8 cm. Find the distance traveled by its outer end in 15 minutes. Show Answer

Q69) Between 5 a.m and 5 p.m of a particular day for how many times are the minute and the hour hands together? Show Answer

Q70) At what time are the hands of clock together between 2 and 3 p.m.? Show Answer

Q71) A motorboat went down the river for 14 km and then up the river 9 km. It took a total of 5 hours for the entire journey. Find the speed of the river flow if the speed of the boat in still water is 5 km/h. Show Answer

Q72) A motorboat whose speed in still water is 10 km/h went 91 km downstream and then returned to its starting point. Calculate the speed of the river flow if the round trip took a total of 20 hours. Show Answer

Q73) In a race of 600 meters, Ajay beats Vijay by 60 meters and in a race of 500 meters Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a 400 meter race? Show Answer

Q74) A motorboat whose speed in still water is 15 kmph goes 30 km downstream and comes back in a total 4 hours 30 min. Determine the speed of the stream Show Answer

Q75) The J & K express from Delhi to Srinagar was delayed by snowfall for 16 minutes and made up for the delay on a section of 80 km traveling with a speed 10 km per hour higher than its normal speed. Find the original speed of the J & K express (according to the schedule) Show Answer

Q76) Ayrton Senna had to cover a distance of 60 km. However, he started 6 minutes later than his scheduled time and raced at a speed 1 km/h higher than his originally planned speed and reached the finish at the time he would reach it if he began to race strictly at the appointed time and raced with the assumed speed. Find the speed at which he traveled during the journey described. Show Answer

Q77) Amitabh covered a distance of 96 km two hours faster than he had planned to. This he achieved by traveling 1 km more every hour than he intended to cover every 1 hour 15 minutes. What was the speed at which Amitabh traveled during the journey? Show Answer

Q78) An urgent message had to be delivered from the house of the Peshwas in Pune to Shivaji who was camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at constant speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that distance. And traveling with a speed 6 km/h lower than the initial speed, it would take him 10 hours more than the time he would have taken had he traveled at a speed 6 kmph higher than the initial speed. Find the distance between Pune and Bangalore. Show Answer

Q79) A pedestrian and a cyclist start simultaneously towards each other from Aurangabad and Paithan which are 40 km apart and meet 2 hours after the start. Then thy resumed their trips and the cyclist arrives at Aurangabad 7 hours 30 minutes earlier than the pedestrian arrives at Paithan. Which of these could be the speed of the pedestrian? Show Answer

Q80) Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. Show Answer

Q81) Two cyclist start simultaneously towards each other from Aurangabad and Ellora, which are 28 km apart. An hour later they meet and keep pedalling with the same speed without stopping. The second cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find the speed of the cyclist who started from Ellors. Show Answer

Q82) Two ants start simultaneously from two ant holes towards each other. The first ant covers 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant traveled 800 feet to the meeting point. Show Answer

Q83) A bus left point X for point Y. Two hours later a car left point X for Y and arrived at Y at the same time as the bus. If the car and the bus left simultaneously from the opposite ends X and Y towards each other, they would meet 1.33 hours after the start. How much time did it take the bus to travel from X to Y? Show Answer

Q84) A racetrack is in the form of a right triangle. The longer of the legs of the track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. Find the length of the racetrack. Show Answer

Q85) Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, one plane overtakes the other every 60 seconds. Find the speed of the slower plane. Show Answer

Q86) Karim, a tourist leaves Ellora on a bicycle. Having traveled for 1.5 h at 16 km/h, he makes a stop for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and local guide Rahim leaves Ellora on a motorcycle and rides with a speed of 28 km/h in the same direction as Karim had gone. What distance will they cover before Rahim overtakes Karim. Show Answer

Q87) A tourist covered a journey partly by foot and partly by tonga. He walked for 90 km and rode the tonga for 10 km. He spent 4 h less on the tonga than on walking. If the tourist had reversed the times he traveled by foot and on tonga, the distances traveled on each part of the journey would be equal. How long did he ride the tonga? Show Answer

Q88) Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out on their meeting that he had traveled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrived at A 9 hours later. Find the speed of the faster tourist. Show Answer

Q89) Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second and the second as many kilometers as the first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida ? Show Answer

Q90) An anti climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take to reach the top? Show Answer

Q91) Two ports A and B are 300 km apart. Two ships leave A for B such that the second leaves 8 hours after the first. The ships arrive at B simultaneously. Find the time the slower ship spent on the trip if the speed of one of them is 10 km/h higher than that of the other. Show Answer

Q92) An ant moved for several seconds and covered 3 min in the first second and 4 mm more in each successive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive second, then the difference between the path it would cover during the same time and the actual path would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds). Show Answer

Q93) The Sabarmati Express left Ahmedabad for Mumabi. Having traveled 300 km, which constitutes 66.666 per cent of the distance between Ahmadabad and Mumbai, the train was stopped by a red signal. Half an hour later, the track was cleared and the engine-driver, having increased the speed by 15 km per hour, arrived at Mumbai on time. Find the initial speed of the Sabarmati Express. Show Answer

Q94) Two swimmers started simultaneously from the beach, one to the south and the other to the east. Two hours later, the distance between them turned out to be 100 km. Find the speed of the faster swimmer, knowing that the speed of one of them was 75% of the speed of the other. Show Answer

Q95) A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclist started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B? Show Answer

Q96) Two horses started simultaneously towards each other and meet each other 3 h 20 min later. How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first? Show Answer

Q97) The difference between the times taken by two buses to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 kmph, find the slower speed. Show Answer

Q98) One bad day, at 7 a.m. I started on my bike at the speed of 36 kmph to meet one of my relatives. After I had traveled some distance, my bike went out of order and I had to stop. After resting for 35 minutes, I returned home on foot at a speed of 14 kmph and reached home at 1 p.m. Find the distance from my house at which my bike broke down. Show Answer

Q99) When did Ram overtake Shyam? Show Answer

Q100) At what distance from the start does Mohan overtake Shyam? Show Answer

Q101) If Ram traveled by bike instead of foot in the last leg of his journey (for the same distance as he had covered by foot), what is the difference in the times of Ram and Mohan to cover 90 miles? Show Answer

Q102) If all of them traveled a distance of 100 miles, who reached first and at what time (assume the last leg time increases to cover 100 miles)? Show Answer

Q103) If all of them traveled a distance of 100 miles, who reached last and at what time? Show Answer

Q104) A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km. Show Answer

Q105) Ram Singh and Priyadarshan start together from the same point on a circular path and walk around, each at his own pace, until both arrive together at the starting point. If Ram Singh performs the circuit in 3 minutes 44 seconds and Priyadarshan in 6 minutes 4 seconds, how many times does Ram Singh go around the path? Show Answer

Q106) Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waited at the station for his wife. The car travels at a uniform speed, which is 5 times Ravi's speed on foot. Ravi reached home at exactly 6 O' clock. At what time would he have reached home if his wife, forewarned of his plan, had met him at the station? Show Answer

Q107) Hemant and Ajay start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lane and at uniform speeds, but Hemant is faster than Ajay. They first pass at a point 18.5 m from the deep end and having completed one length, each one is allowed to rest on the edge for exactly 45 seconds. After setting off on the return length, the swimmers pass for the second time just 10.5 m from the shallow end. How long is the pool? Show Answer

Q108) The distance between two towns is x km. A car traveling between the towns covers the first k km at an average speed of y km/h and the remaining distance at z km/h. The time taken for the journey is Show Answer

Q109) Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of train. Show Answer

Q110) How far from Tata will the two trains meet? Show Answer

Q111) At what time will the two trains meet? Show Answer

Q112) The total distance traveled by the bird before the crash is Show Answer

Q113) The total distance traveled by the bird before it reaches the second car for the second time is Show Answer

Q114) The total number of times that the bird reaches the bonnet of the second car is (theoretically) : Show Answer

Q115) A dog sees a cat. It estimates that the cat is 25 leaps away. The cat sees the dog and starts running with the dog in hot pursuit. If in every minute, the dog makes 5 leaps and the cat makes 6 leaps and one leap of the dog is equal to 2 leaps of the cat. Find the time in which the cat is caught by the dog (assume an open field with no trees) Show Answer

Q116) Two people A and B start from P and Q (distance = D) at the same time towards each other. They meet at a point R, which is at a distance 0.4 D from P. They continue to move to and fro between the two points. Find the distance from point P at which the fourth meeting takes place. Show Answer

Q117) A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes in 36 hours; both are set right at noon on Tuesday. The correct time when they both show the same time next would be Show Answer

Q118) Two points A and B are located 48 km apart on the riverfront. A motorboat must go from A to B and return to A as soon as possible. The river flows at 6 km/h. What must be the least speed of the motorboat in still water for the trip from A to B and back again to be completed in not more than six hours (assume that the motorboat does not stop at B)? Show Answer

Q119) Two ghats are located on a riverbank and are 21 km apart. Leaving one of ghats for the other, a motorboat returns to the first ghat in 270 minutes, spending 40 min of that time in taking the passengers at the second ghat. Find the speed of the boat in still water if the speed of the river flow is 2.5 km/h? Show Answer

Q120) A train leaves Muzaffarpur for Hazipur at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Hazipur for Muzaffarpur at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Hazipur and Muzaffarpur is 590 km at what distance from Muzaffarpur will the two trains meet? Show Answer

Q121) A dog after traveling 50 km meets a swami who counsels him to go slower. He then proceeds at 3/4 of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further the dog would have reached its destination 25 minutes late. The speed of the dog is Show Answer

Q122) Two people started simultaneously towards each other from Siliguri and Darjeeling, which are 60 km apart. They met 5 hours later. After their meeting, the first person, who traveled from Siliguri to Darjeeling, decreased his speed by 1.5 km/h and the other person who traveled from Darjeeling to Siliguri, increased his speed by 1.5 km/h. The first person is known to arrive at Darjeeling 2.5 hours earlier than the second person arrived at Siliguri. Find the initial speed of the first person. Show Answer

Q123) Three cars leave Patna for Ranchi equal time intervals. They reach Ranchi simultaneously and then leave for Vizag, which is 120 km from Ranchi. The first car arrives there an hour after the second car, and the third car, having reached Vizag, immediately reverses the direction and 40 km from Vizag meets the first car. Find the speed of the first car. Show Answer

Q124) Two sea trawlers left a sea port simultaneously in two mutually perpendicular directions. Half an hour later, the shortest distance between them was 17 km, and another 15 min later, one sea trawler was 10.5 km farther from the origin than the other. Find the speed of each sea trawler. Show Answer

Q125) Shaurya and Arjit take a straight route to the same terminal point and travel with constant speeds. At the initial moment, the positions of the two and the terminal point form an equilateral triangle. When Arjit covered a distance of 80 km, the triangle becomes right-angled. When Arjit was at a distance of 120 km from the terminal point, the Shaurya arrived at the point. Find the distance between them at the initial moment assuming that there are integral distances throughout the movements described. Show Answer

Q126) Mrinalini and Neha travel to Connaught Place along two straight roads with constant speeds. At the initial moment, the positions of Mrinalini, Neha, and Connaught Place form a right triangle. After Mrinalini traveled 30 km, the triangle between the points became equilateral. Find the distance between Mrinalini and Neha at the initial moment if at the time Mrinalini arrived at Connaught Place, Neha had to cover 6.66 km to reach Connaught Place. Show Answer

Q127) Three cars started simultaneously from Ajmer to Benaras along the same highway. The second car traveled with a speed that was 10 km/h higher than the first car's speed and arrived at Benaras 1 hour earlier than the first car. The third car arrived at Benaras 33.33 minutes earlier than the first car, traveling half the time at the speed of the first car and the other half at the speed of the second car. Find the total distance covered by these three cars during their journey between Ajmer and Benaras. Show Answer

Q128) Three sprinters A, B and C had to sprint from points P to Q and back again (starting in that order). The time interval between the starting times of the three sprinters A, B and C was 5 seconds each. Thus C started 10 seconds after A, while B started 5 seconds after A. The three sprinters passed a certain point R, which is somewhere between P and Q, simultaneously (none of them having reached point Q yet). Having reached Q and reversed the direction, the third sprinter met the second one 9 m short of Q and met the first sprinter 15 m short of Q. Find the speed of the first sprinter if the distance between PQ is equal to 55 m. Show Answer

Q129) Two trains start from the same point simultaneously and in the same direction. The first train travels at 40 km/h, and the speed of the second train is 25 per cent more than the speed of the first train. Thirty minutes later, a third train starts from the same point and in the same direction. It overtakes the second train 90 minutes late than it overtook the first train. What is the speed of the third train? Show Answer

Q130) A passenger train left town Alpha for town Beta. At the same time a goods train left Beta for Alpha. The speed of each train is constant throughout the whole trip. Two hours after the trains met, they were 450 km apart. The passenger train arrived at the place of destination 16 hours after their meeting and the goods train, 25 hours after the meeting. How long did it take the passenger train to make the whole trip? Show Answer

Q131) Two ducks move along the circumference of a circular pond in the same direction and come alongside each other every 54 minutes. If they moved with the same speeds in the opposite directions, they would meet every 9 minutes. It is known that when the ducks moved along the circumference in opposite directions, the distance between them decreased from 54 to 14 feet every 48 seconds. What is the speed of the slower duck? Show Answer

Q132) Find a possible of the time it took Dev to cover the distance from X to Y to the time it took Nishit to cover the same distance. Show Answer

Q133) Which of these is a possible value of the distance between the points X and Y: Show Answer

Q134) Three points A, B and C are located at the vertices of an equilateral triangle with sides equal to 168 meters. A donkey called Dinky starts from A to B at 60 meters/hours and at the same time a cow called Moo starts from B to C at 30 meters/hour. In what time after their departure will the distance between the donkey and the cow be the least? Show Answer

Q135) A train has to travel the distance between Aurangabad and Daulatabad, equal to 20 km, at a constant speed. It travelled half the way with the specified speed and stopped for three minutes, to arrive at Daulatabad on time, it had to increase its speed by 10 km/h for the rest of the way. Next time the train stopped half-way for five minutes. By what speed must it increases its speed for the remaining half of the distance to arrive at Daulatabad as per the schedule? Show Answer

Q136) Nishit travels from Patna to Kolkata, a distance of 200 km at the speed of 40 km/h. At the same time, Ravi starts from Kolkata at a speed of 20 kmph along a road, which is perpendicular to the road on which Nishit is traveling. When will Nishit and Ravi be closest to each other? Show Answer

Q137) Jaideep travels from Alaska, which is on a highway, to Burgen, which is 16 km from the highway. The distance between Alaska and Burgen along a straight line is 34 km. At what point should Jaideep turn from the highway to reach Burgen in the shortest possible time, if his speed along the highway is 10 km/h and 6 km/h otherwise. Show Answer

Q138) Find the distance covered by the object in the first 7 seconds if we assume that the speed of the object in a particular second is the speed it attains at the start of the second. Show Answer

Q139) Three ghats X, Y and Z on the Yamuna in Delhi are located on the river bank. The speed of the river flow is 8 km/h in the direction of its flow, Ghat Y being located midway between X and Z. A raft and a launch leave Y at the same time, the raft traveling down the river to Z and the launch traveling to X. The speed of the launch in still water is 5 km/h. Having reached X, the launch reverses its direction and starts to Z. Find the range of values of V for which the launch arrives at Z later than the raft. Show Answer

Q140) A pedestrian left point A for a walk, going with the speed of 5 km/h. When the pedestrian was at a distance of 6 km from A, a cyclist followed him, starting from A and cycling at a speed 9 km/h higher than that of the pedestrian. When the cyclist overtook the pedestrian, they turned back and returned to A together, at the speed of 4 km/h. At what v will the time spent by the pedestrian on his total journey from A to A be the least? Show Answer

Q141) A cyclist left point A for point B and traveled at the constant speed of 25 km/h. When he covered the distance of 8.33 km, he was overtaken by a car that left point A twelve minutes after the cyclist and traveled at a constant speed too. When the cyclist traveled another 30 km, he encountered the car returning from B. Assume that the car did not stop at point B. Find the distance between A and B. Show Answer

Q142) The distance of the robot from point A after 6 seconds will be (assuming that for every seconds the robot travels at a constant speed equal to its starting speed for that second and any acceleration occurs at the start of the next second) Show Answer

Q143) On the banks of the river Ganges there are two bathing points in Varanasi and Patna. A diya left in the river at Varanasi reaches Patna in 24 hours. However, a motorboat covers the whole way to and fro in exactly 10 hours. If the speed of the motorboat in still water is increased by 40% then it takes the motorboat 7 hours to cover the same way (from Varanasi to Patna and back again). Find the time necessary for the motorboat to sail from Varanasi to Patna when its speed in still water is not increased. Show Answer

Q144) Two friends started walking simultaneously from points A and B towards each other. 144 minutes later the distance between them was 20% of the original distance. How many hours does it take the faster walker to cover the distance A B if he needs eight hours less to travel the distance than his friend (assume all times to be in whole numbers and in hours)? Show Answer

Q145) Two cars left points A and B simultaneously, traveling towards each other. 9 hours after their meeting, the car traveling from A arrived at B, and 16 hours after their meeting, the car traveling from B arrived at A. How many hours did it take the slower car to cover the whole distance? Show Answer

Q146) A pedestrian and a cyclist left Nagpur for Buti Bori at the same time. Having reached Buti Bori, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to Buti Bori and the cyclist turned back and also headed for Buti Bori. Having reached Buti Bori, the cyclist turned back again and met the pedestrian 30 mins after their first meeting. Determine what time it takes the pedestrian to cover the distance between Nagpur and Buti Bori. Show Answer

Q147) Points A, B, and C are at the distance of 120, 104.66 and 112 km from point M respectively. Three people left these points for point M simultaneously : the first person started from point A, the second from B and the third from C. The first person covered the whole way at a constant speed and arrived at M an hour before the second and the third persons (who arrived simultaneously). The third person covered the whole way at a constant speed. The second person, having traveled 72 km at the same speed as the first, stopped for 2 hours. The rest of the way he traveled at a speed that is less than the speed of the third person by the same amount as the speed of the third is less than that of the first. Determine the speed of the first person. Show Answer

Q148) Two people started simultaneously form points A and B towards each other. At the moment the person who started from A had covered two-thirds of the way, the other person had covered 2 km less than half the total distance. If it is known that when the person who started from B had covered 1/4 of the way, the other person was 3 km short of the mid point. Find the distance between A and B. The speed of the two people were constant. Show Answer

Q149) Sohan and Lallan left their house simultaneously. Thirty six minutes later, Sohan met his uncle traveling to their house, while Lallan met the uncle twelve minutes after Sohan. Twenty four minutes after his meeting with Lallan, the uncle rang the door bell at Sohan and Lallan's house. Assume each person travels at a constant speed. Find the ratio of the speeds of Sohan to Lallan to the uncle. Show Answer

Q150) The distance between two towns - Aurangabad and Jalna is 80 km. A bus left Aurangabad and traveled at a constant speed towards Jalna. Thirty minutes later, Deepak Jhunjhunwala left Aurangabad in his car towards Jalna. He overtook the bus in thirty minutes and continued on his way to Jalna. Without stopping at Jalna, he turned back and again encountered the bus 80 minutes after he had left Aurangabad. Determine the speed of the bus. Show Answer

Q151) Rohit left Mahabaleshwar for Nashik at 6 a.m. An hour and a half later Vimal, whose speed was 5 km/h higher than that of Rohit left Mahabaleshwar. At 10 : 30 p.m. of the same day the distance between the two friends was 21 km. Find the speed of Vimal. Show Answer

Q152) Aurangzeb and Babar with their troops left from Delhi and Daulatabad towards each other simultaneously. Each of them marched at a constant speed and, having arrived at their respective points of destination, went back at once. Their first meeting was 14 km from Daulaabad, and the second meeting, eight hours after the first meeting was at a distance of 2 km from Delhi. Find the distance between the Delhi and Daulatabad. Show Answer

Q153) Two tourists left simultaneously point A for point B, the first tourist covers each kilometer 2 minutes faster than the second. After traveling 30 per cent of the way, the first tourist returned to A, stopped there for 102 minutes and again started for B. The two tourists arrived at B simultaneously. What is the distance between A and B if the second tourist covered it in 2.5 hours? Show Answer

Q154) Amar and Akbar left Bhubaneshwar simultaneously and traveled towards Cuttack. Amar's speed was 15 km/h and that of Akbar was 12 km/h. Half an hours later, Anthony left Bhubaneshwar and traveled in the same direction. Some time later, he overtook Akbar and 90 minutes further on he overtook Amar. Find Anthony's speed. Show Answer

Q155) Two bodies, moving along a circle in the same direction, meet every 49 minutes. Had they moved at the same speeds in the opposite directions, they would meet every 7 minutes. If, moving in the opposite directions, the bodies are at the distance of 40 m from each other along the arc at time t = 0, then at t = 24 seconds, their distance will be 26 meters (the bodies do not meet during those 24 seconds). Find the speed of the faster body in meters per minute. Show Answer

Q156) The distance between Varanasi and Lucknow is 220 km. Two buses start from these towns towards each other. They can meet halfway if the first bus leaves 2 hours earlier than the second. If they start simultaneously, they will meet in 4 hours. Find the speeds of the buses. Show Answer

Q157) A road passes through the towns Sangamner and Yeotmal. A cyclist started from Sangamner in the direction of Yeotmal. At the same time, two pedestrians started from Yeotmal traveling at the same speed, the first of them towards Sangamner and the other in the opposite direction. The cyclist covered the distance between the towns in half an hour and, continued ahead in the same direction. He overtook the second pedestrian, 1.2 hours after he met the first pedestrian. Determine the time the cyclist spent traveling from Sangamner to the point of the meeting with the first pedestrian (assuming the speeds of the cyclist and the pedestrian to be constant). Show Answer

Q158) Find the ratio of A and B speeds. Show Answer

Q159) Find the speed of the moped. Show Answer

Q160) Three friends A, B and C start from P to Q that are 100 km apart. A is on a moped while B is riding pillion and C walks on. A takes B to a point R and returns to pick up C on the way and takes him to point Q. B on the other hand, walks to Q from point R (R is the mid-point between P and Q).
If the ratio of speeds of the three people is 5 : 2 : 2, find where will the last person be when the first person reaches Q. Show Answer

Q161) A motorboat moves from point A to point B and back again, both points being located on the riverbank. If the speed of the boat in still water is doubled, then the trip from A to B and back again would take 20% of the time that the motorboat usually spends in the journey. How many times is the actual speed of the launch higher than the speed of the river flow? Show Answer

Q162) A watch loses 2/3% time during the 1st week and gains 1/3% time during the next week. If on a Sunday noon, it showed the right time, what time will it show at noon on the Sunday after the next. Show Answer

Q163) Clocks A, B and C strikes every hour. B slows down and takes 2 min longer than A per hour while C become faster and takes 2 min less than A per hour. If they strike together at 12 midnight, when will they strike together again Show Answer

Q164) A boat went down the river for a distance of 20 km. It then turned back and returned to its starting point, having traveled a total of 7 hours. On its return trip, at a distance of 12 km from the starting point, it encountered a log, which had passed the starting point at the moment at which the boat had started downstream. The downstream speed of the boat is Show Answer

Q165) Two boats go downstream from point X to point Y. The faster boat covers the distance from X to Y 1.5 times as fast as the slower boat. It is known that for every hour the slower boat legs behind the faster boat by 8 km. However, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water. Show Answer

Q166) A train approaches a tunnel AB. Inside the tunnel a cat is located at a point that is 2/5 th the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order? Show Answer

Q167) At what time did X catch the thief? Show Answer

Q168) If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind was he when X caught the thief? Show Answer

Q169) Two typists undertake to do a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still 9/20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually? Show Answer

Q170) A man can walk up a moving 'up' escalator in 30 s. The same man can walk down this moving 'up' escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving? Show Answer

Q171) If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India? Show Answer

Q172) If X had started the return journey from India at 2.55 a. m. on the same day that he reached there, after how much time would he reach Frankfurt? Show Answer

Q173) What is X's average speed for the entire journey (to and fro)? Show Answer

Q174) A car after traveling 18 km from a point A developed some problem in the engine and the speed became 4/5 th of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached B only 36 minutes late. The original speed of the car (in km per hour) and the distance between the points A and B (in km) are Show Answer

Q175) Two trains are traveling in opposite direction at uniform speed 60 and 50 km per hour respectively. They take 5 seconds to cross each other. If the two trains had traveled in the same direction, then a passenger sitting in the faster moving train would have overtaken the other train in 18 seconds. The length of the trains in meters are Show Answer

Q176) Every day Asha's husband meets her at the city railway station at 6:00 p.m. and drives her to their residence. One day she left early from the office and reached the railway station at 5:00 p.m. She started walking towards her home, met her husband coming from their residence on the way and they reached home 10 minutes earlier than the usual time. For how long did she walk? Show Answer

Q177) Three machines A, B and C can be used to produce a product. Machine A will take 60 hours to produce a million units. Machine B is twice as fast as Machine A. Machine C will take the same amount of time to produce a million units as A and B running together. How much time will be required to produce a million units if all the three machines are used simultaneously? Show Answer

Q178) Mr. and Mrs. Shah travel from City A to City B and break journey at City C between. Somewhere between City A and City C, Mrs. Shah asks "How far have we traveled?" Mr. Shah replies, "Half as far as the distance from here to city C". Somewhere between City C and City B, exactly 200 km from the point where she asked the first question, Mrs. Shah asks "How far do we have to go?" Mr. Shah replies "Half as far as the distance from City C to here." The distance between Cities A and B in km is Show Answer

Q179) A train without stopping travels at 60 km per hour and with stoppages at 40 km per hour. What is the time taken for stoppages on a route of 300 km? Show Answer

Q180) The point where the two would meet is Show Answer

Q181) How many hours would Jiggly Pup take to reach B? Show Answer

Q182) How many more hours would Jiggly Pup (compared to Kachua Bhaiya) take to complete his journey? Show Answer

Q183) A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is ten times that of the ship, is sent to deliver mail. How far from the shore does the seaplane catch up with the ship? Show Answer

Q184) In a race of 200 meters run, Ashish beats Sunil by 20 meters and Nalin by 40 meters. If Sunil and Nalin are running a race of 100 meters with exactly the same speeds as before, then by how many meters will Sunil beat Nalin? Show Answer

Q185) Anshuman travels at minimum speed by car over A and completes stretch B at the fastest possible speed. At what speed should he cover stretch C in order to break the previous record? Show Answer

Q186) Mr. Hare completes the first stretch at the minimum speed and takes the same time for stretch B. He takes 50% more time than the previous record to complete the race. What is Mr. Hare's speed for the stretch C? Show Answer

Q187) Mr. Tortoise completes the race at an average speed of 40 kmph. His average speed for the first two stretches is 4 times that for the last stretch. Find his speed over stretch C. Show Answer

Q188) An express train traveling at 80 kmph overtakes a goods train twice as long and going at 40 kmph on a parallel track, in 54 seconds. How long will the express train take to cross a station 400 m long? Show Answer

Q189) At what time did X catch the thief? Show Answer

Q190) If another policeman has started the same chase along with X, but at a speed of 60 kmph, then how far behind was he when X caught the thief? Show Answer

Q191) A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A to Z. What is the distance from Y to Z? Show Answer

Q192) A motorist leaves the post office to go to the airport to collect mail. The plane arrives early, and the mail is sent on a horse-cart. After half an hour, the motorist meets the horse-cart, collects the mail and returns to the post office, thus saving 20 minutes. How many minutes early did the plane arrive? Show Answer

Q193) There are two candles each of the same initial length. The first candle can burn for 24 hours, while the second candle can burn for 16 hours. Both of them are lit at the same time. After sometime, it was found that one of the candles was twice as long as the second. For how long had the candle been burning? Show Answer

Q194) Two trains, a passenger train and a freight train, are running in the same direction on parallel railway tracks. The passenger train takes three times as long to pass the freight train as when they are going in opposite directions.
If the trains run at uniform speeds with goods train running at a maximum speed of 25 km/h, what is the speed of passenger train (p) in km/h? Show Answer

Q195) Shoaib completes the first stretch at minimum speed but is able to maintain the same speed in the second stretch also. If he takes 60% more time than the current record, then speed of Shoaib over stretch O is approximately: Show Answer

Q196) Amitabh covers stretch M at minimum speed but completes the next stretch at maximum permissible speed. What should be Amithabh's speed in the stretch O if he now aims at breaking the current record? Show Answer

Q197) Steven Miles completes the race at an average speed 30 km/hr. If his average speed over stretches M and N is 300% more than his speed over stretch O, what is his speed over stretch O? Show Answer

Q198) The Sinhagad Express and the Gomati Express consisting of 41 and 42 carriages respectively are traveling @ 36 kmph in opposite directions. The carriage length (including inter-carriage lengths averaged over number of carriages) averages 10 m and is half the engine length. If the trains cross each other on parallel tracks, in how much time will they complete the crossing? Show Answer

Q199) Ramu is standing at an intersection where two roads intersect at right angles. He observes through his binoculars that two cars start moving towards the intersection at the same time along these two roads, one of them is moving at a speed of 13.333 m/sec and starts at a point 40 km from the intersection. The second car is moving at 10 m/sec and starts at a point 50 km from the intersection. In how many minutes from the start will the distance between the two be minimum? Show Answer

Q200) What is the length of the race? Show Answer

Q201) What is the speed of the slowest motor cycle? Show Answer

Q202) Two sets of boys are playing a match of catching. It is decided that once the ball falls on the ground from the hands of a side it would get the other side as many points as the number of meters the ball travels before coming to rest and the play won't resume until that happens. It is also known that height of a fall is exactly 150 % of that of the bounce for the king of balls to be used for the match. In the first instance Raghav's team dropped the ball a height of 45 m. How many points does Shaurya's team gain? Show Answer

Q203) Akhilesh was experimenting with time measurement using a pair of sand glasses. The following pairs of sand glasses are available (sand glass of one pair cannot be combined with sand glass of another pair)
A - 9 min and 12 min
B - 4 min and 7 min
C - 6 min and 7 min
In how many ways can be choose his pair of sand glasses in order to be able to measure exactly 15 minutes? Show Answer

Q204) If the speed after the flat tyre was 20% more than the original speed, find the normal time taken by Prabhjeet to reach the destination from the site of the accident. Show Answer

Q205) If the normal time taken to reach Bengaluru after the start was 10 hr. at what distance from Bengaluru did the flat tyre occur? Show Answer

Q206) On 26th July, Mumbai was flooded. Rain-shield enterprises is in the business of manufacturing umbrellas and raincoats. An umbrella can shield 2 people while a raincoat can shield 1 person. People under an umbrella can walk at 1/3 rd the speed of a person wearing a raincoat. The cost of an umbrella and cost of the raincoat are in the ratio 2 : 5. Points A and B are 100 m apart and it takes 20 minutes for a person wearing a raincoat to travel the distance. At the maximum how many people will be transported today from A to B, if only Rs. 1000 is available for transporting 20 people? Cost of traveling time is Rs. 2 per min. per head (Assume cost of a raincoat to be Rs. 100.) Show Answer

Q207) A tank in Gauri Apartments is full of water and is fitted with pumps of equal capacity. Besides it is also fitted with a certain number of inlet pipes which are always kept open When the tank is full, 10 pumps of equal capacity empty the tank in 12 hes, while 15 pumps of the same capacity empty the tank in 6 hrs. In how much time would 25 pumps of the same capacity empty the tank, if the rank is initially full? (All the pipes pouring water into the tank are always open) Show Answer

Q208) A group of 4 people - Raghav, Golu, Shaurya and Arjit, arrive in a car to a friend's house. The group was forced to park around the corner due to lack of parking space. It was raining heavily and the group had only one umbrella. They decided to share it. Two persons would go at a time to the friends house and one of them would come back with the umbrella. The process would be repeated unless all four people reach the friends house. If Raghav, Golu, Shaurya and Arjit take 1, 2, 5 and 10 minutes respectively at their fastest speed to go to the friend's house, what is the minimum time required for all of them to reach the friend's house? (A faster person slows down to accompany a slower one) Show Answer