| Coverage : The GRE Practice Test - Math - Time and Distance Problems has been designed to test the important concepts related to time and distance. The test covers important topics like determining the distance covered in a particular time period, evaluating the time required to cover a certain distance when speed is doubled or tripled, determining the time taken for two vehicles to meet if they are running in opposite directions etc. |
| 1. | Arun and Gaurav walking at a rate of 3 1/2 miles and 4 1/2 miles an hour,
strat from the same place in opposite directions, when will they be 28 miles apart? |
| a. | | 2 hr |
| b. | | 5 hr |
| c. | | 8 hr |
| d. | | 3 1/2 hr |
| e. | | None of the above
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| 2. | A car moves at a speed of 40 km/hr. What is the speed of the car in meters per second? |
| a. | | 9 m/sec |
| b. | | 11 1/9 m/sec |
| c. | | 21/9 m/sec |
| d. | | 11/9 m/sec |
| e. | | 1/9 m/sec
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| 3. | A car moves at a speed of 90 km/hr. What is the speed of the car in meters per second? |
| a. | | 12 m/sec |
| b. | | 9 m/sec |
| c. | | 21 m/sec |
| d. | | 11 m/sec |
| e. | | 25 m/sec
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| 4. | A person walking at the rate of 10 km/hr crosses a bridge in 9 minutes. What is the length of the bridge. |
| a. | | 1000 meter |
| b. | | 1500 meter |
| c. | | 1200 meter |
| d. | | 100 meter |
| e. | | 500 meter
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| 5. | A person walking at the rate of 3 km/hr crosses a bridge in 20 minutes. What is the length of the bridge. |
| a. | | 1000 meter |
| b. | | 1500 meter |
| c. | | 1200 meter |
| d. | | 100 meter |
| e. | | 500 meter
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| 6. | A cyclist is running at a speed of 36 kmph. What distance will it cover in 30 seconds. |
| a. | | 300 metre |
| b. | | 250 metre |
| c. | | 200 metre |
| d. | | 30 metre |
| e. | | 130 metre
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| 7. | A motorist is running at a speed of 90 kmph. What distance will it cover in 20 seconds. |
| a. | | 300 metre |
| b. | | 250 metre |
| c. | | 200 metre |
| d. | | 300 metre |
| e. | | 500 metre
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| 8. | Two cars moving in the opposite directions, leave the same place at same time.
The speed of one them is greater than that of the other by 5 miles per hour.
They are at a distance of 50 miles from each other at the end of two hours. What is the speed
of the car having a lower speed (in miles/hour). |
| a. | | 20 |
| b. | | 15 |
| c. | | 17 |
| d. | | 23 |
| e. | | None of the above
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| 9. | The average speed of a car without stoppages is 32 miles/hour and the average speed of the car
with stoppages is 20 miles/hour. How many minutes in an hour does the train stop on an average? |
| a. | | 22.5 min |
| b. | | 22 min |
| c. | | 15 min |
| d. | | 26 min |
| e. | | None of the above
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| 10. | A man reaches at a place late by 40 minutes, if he walks at 3 miles/hour and 30 minutes early,
if he walks at 4 miles/hour. Find out how far is the place? |
| a. | | 13 miles |
| b. | | 20 miles |
| c. | | 5 miles |
| d. | | 14 miles |
| e. | | None of the above
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| 11. | Vikas walks 4 miles and Ashok 5 miles an hour. Vikas is at a distance of 20 miles from from Ashok.
If they walk in the same direction when will Ashok overtake Vikas? |
| a. | | 8 hr |
| b. | | 20 hr |
| c. | | 10 hr |
| d. | | 28 hr |
| e. | | None of the above
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| 12. | Two cars start at the same time from a point A and point B and proceed towards each other at a rate
of 16 miles/hour and 21 miles/hour respectively. When thay meet it is found that one has traveled
60 miles more then the other. Find the distance between the two points? |
| a. | | 220 miles |
| b. | | 148 miles |
| c. | | 444 miles |
| d. | | 384 miles |
| e. | | None of the above
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| 13. | A bicycle passes a ground 60 meters long in 20 seconds and a person in 12 seconds.
Find the speed of the bycycle. |
| a. | | 40 |
| b. | | 27 |
| c. | | 50 |
| d. | | 35 |
| e. | | None of the above
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| 14. | A train describes a distance of 300 miles with some speed. If its speed is increased
by 10 miles per hour, it will describe the same distance in one hor less. Find the speed
of the car (in miles/hour) |
| a. | | 30 |
| b. | | 45 |
| c. | | 20 |
| d. | | 50 |
| e. | | None of the above
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| 15. | A cyclist travels one hour at an average speed of 30 miles per hour and the next hour at an average speed of 50 miles per hour.
Find out his average speed. |
| a. | | 30 miles/hour |
| b. | | 25 miles/hour |
| c. | | 40 miles/hour |
| d. | | 50 miles/hour |
| e. | | 35 miles/hour
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| 16. | A train crosses a man in 6 seconds at a speed of 60 km per hour.
Find out the length of the train. |
| a. | | 200 meters |
| b. | | 100 meters |
| c. | | 125 meters |
| d. | | 220 meters |
| e. | | 120 meters
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| 17. | Find out the combined length of the trains if one traveling at 40 km per hour and crosses
another train traveling in same direction at 30 miles per hour in 20 seconds. |
| a. | | 150 meters |
| b. | | 200 meters |
| c. | | 200/3 meters |
| d. | | 500/9 meters |
| e. | | 100 meters
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| 18. | Find out the usual speed and the speed on this occasion If Rohan covered a distance of 50 miles in 40 minutes. |
| a. | | 15/8 |
| b. | | 10/12 |
| c. | | 20/30 |
| d. | | 8/15 |
| e. | | 4/5
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| 19. | Find out the average speed of travel,If a person drives at 20 miles per hour on her way from Ny to Osten and on the
return journey he drives at 35 miles per hour. |
| a. | | 280/8 miles/hour |
| b. | | 100 miles/hour |
| c. | | 200 miles/hour |
| d. | | 280/11 miles/hour |
| e. | | 280 miles/hour
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| 20. | Find out the length of the train traveling at 150km/hr, crosses a bridge of one miles
length in 45 seconds. |
| a. | | 900 meter |
| b. | | 875 meter |
| c. | | 500 meter |
| d. | | 750 meter |
| e. | | 800 meter
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| 21. | Find out the speed off the cyclist in Km/hr if he covers the distance of 1500 in 5 minutes. |
| a. | | 12 km/hr |
| b. | | 20 km/hr |
| c. | | 15 km/hr |
| d. | | 30 km/hr |
| e. | | 18 km/hr
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| 22. | Two trains travelling at the speed of 80 mph and 70 mph in opposite directions, cross each other in 9 seconds.
Find out the length of other If the length of one of the trains is 300 yards. |
| a. | | 360 yards |
| b. | | 300 yards |
| c. | | 200 yards |
| d. | | 100 yards |
| e. | | 250 yards
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| 23. | A train is 20 minutes late if Walking at 7/8 minutes of its usual speed. What is the usual
speed of the train to cover the journey. |
| a. | | 200 minutes |
| b. | | 100 minutes |
| c. | | 140 minutes |
| d. | | 220 minutes |
| e. | | 50 minutes
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| 24. | A train is 10 minutes late if Walking at 3/4 minutes of its usual speed. What is the usual
speed of the train to cover the journey. |
| a. | | 25 minutes |
| b. | | 40 minutes |
| c. | | 10 minutes |
| d. | | 20 minutes |
| e. | | 30 minutes
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| 25. | A and B are two stations 540 Km apart. A train starts from A at 2 p.m. and travels towards
B at 60 Kmph. Anothre train starts from B at 3 p.m. and travels towards A at 50 kmph. At what
time do they meet? |
| a. | | 10 p.m. |
| b. | | 8 p.m. |
| c. | | 5 a.m |
| d. | | 9 p.m. |
| e. | | 7 a.m.
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| 26. | A and B are two stations 400 Km apart. A train starts from A at 9 p.m. and travels towards
B at 70 Kmph. Anothre train starts from B at 10 p.m. and travels towards A at 40 kmph. At what
time do they meet? |
| a. | | 8 p.m. |
| b. | | 1 a.m. |
| c. | | 4 a.m |
| d. | | 9 p.m. |
| e. | | 10 a.m.
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| 27. | A and B are two stations 260 Km apart. A train starts from A at 9 a.m. and travels towards
B at 55 Kmph. Anothre train starts from B at 10 p.m. and travels towards A at 25 kmph. At what
time do they meet? |
| a. | | 1:7:5 p.m. |
| b. | | 2 p.m. |
| c. | | 5 a.m |
| d. | | 2:4:5 p.m. |
| e. | | 3 a.m.
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| 28. | A bike takes 5 hours to travel a certain distance. If it had increased its speed by 8 miles/hr,
then it would have taken 3 hours, Find out the distance? |
| a. | | 60 miles |
| b. | | 80 miles |
| c. | | 30 miles |
| d. | | 45 miles |
| e. | | None of the above
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| 29. | A car does a journey without stoppage in 8 hours. If it had traveled 5 miles/hour faster,
it would have done the journey in 6 hours 40 minutes. What is the original speed of the car. |
| a. | | 60 miles/hr |
| b. | | 80 miles/hr |
| c. | | 25 miles/hr |
| d. | | 45 miles/hr |
| e. | | None of the above
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| 30. | A person is covering certain distance at a speed of 10 miles/hour. He takes rest for 5 minutes, after every kilometer.
find out the time to cover a distance of 5 kilometer? |
| a. | | 20 minutes |
| b. | | 40 minutes |
| c. | | 55 minutes |
| d. | | 50 minutes |
| e. | | None of teh above
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| 31. | Dev takes 3 hours to cover a distance of 180 miles by a car. Find out the speed of the car(in miles/hour) if the distance is to be covered in |
| a. | | 63 |
| b. | | 72 |
| c. | | 56 |
| d. | | 50 |
| e. | | None of the above
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| 32. | A train covers a certain distance in 2 hours 6 minutes with a speed of 40 miles/hr
then the other train moving at 96 miles/hr. Find out the distance? |
| a. | | 124 miles |
| b. | | 144 miles |
| c. | | 120 miles |
| d. | | 200 miles |
| e. | | None of the above
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| 33. | Peter walks a certain distance and rides back taking a total time of 45 minutes.
He could walk both ways in 60 minutes. How long would it take him to ride both ways? |
| a. | | 30 minutes |
| b. | | 10 minutes |
| c. | | 25 minutes |
| d. | | 20 minutes |
| e. | | 40 minutes
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| 34. | I walk a certain distance and ride back taking a total time of 25 minutes.
I could walk both ways in 40 minutes. How long would it take him to ride both ways? |
| a. | | 30 minutes |
| b. | | 35 minutes |
| c. | | 10 minutes |
| d. | | 20 minutes |
| e. | | 40 minutes
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| 35. | Raffela walks a certain distance and rides back taking a total time of 50 minutes.
She could walk both ways in 70 minutes. How long would it take him to ride both ways? |
| a. | | 40 minutes |
| b. | | 100 minutes |
| c. | | 120 minutes |
| d. | | 25 minutes |
| e. | | 30 minutes
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| 36. | A train travels at an average of 60 miles per hour for 2 hours and then travels
at a speed of 75 miles per hour for 1 hours. How far did the train travel in entire 3 hours. |
| a. | | 200 miles |
| b. | | 195 miles |
| c. | | 500 miles |
| d. | | 190 miles |
| e. | | 150 miles
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| 37. | A train travels at an average of 80 miles per hour for 3 1/2 hours and then travels
at a speed of 60 miles per hour for 2 1/2 hours. How far did the train travel in entire 6 hours. |
| a. | | 200 miles |
| b. | | 195 miles |
| c. | | 500 miles |
| d. | | 430 miles |
| e. | | 400 miles
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| 38. | A train covers a distance of 20 km in 15 minutes. If its speed is decreased by 20km/hr,
what is the time taken by it to cover the same distance? |
| a. | | 10 minutes |
| b. | | 15 minutes |
| c. | | 20 minutes |
| d. | | 40 minutes |
| e. | | 80 minutes
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| 39. | A train covers a distance of 30 km in 20 minutes. If its speed is decreased by 15km/hr,
what is the time taken by it to cover the same distance? |
| a. | | 15 minutes |
| b. | | 50 minutes |
| c. | | 20 minutes |
| d. | | 40 minutes |
| e. | | 16 minutes
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| 40. | Two persons are walking from a place A to another place B. There speeds are in the ratio of
6:8. What is the time ratio to reach B by them. |
| a. | | 1:2 |
| b. | | 1:4 |
| c. | | 4:3 |
| d. | | 2:4 |
| e. | | 2:5
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| 41. | Three persons are walking from a place A to another place B. There speeds are in the ratio of
2:4:6. What is the time ratio to reach B by these persons. |
| a. | | 6:3:2 |
| b. | | 1:4:6 |
| c. | | 1:3:6 |
| d. | | 2:4:8 |
| e. | | 2:5:1
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| 42. | Four persons are walking from a place A to another place B. There speeds are in the ratio of
3:4:6:8. What is the time ratio to reach B by these persons. |
| a. | | 3:4:6:8 |
| b. | | 8:4:6:3 |
| c. | | 8:6:4:3 |
| d. | | 3:4:8:6 |
| e. | | 4:3:6:8
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| 43. | A travels equal distances with speeds of 12km/hr, and 5 km/hr and takes a total time of
17 minutes. Find out the total distance in KM. |
| a. | | 8 minutes |
| b. | | 5 minutes |
| c. | | 3 minutes |
| d. | | 2 minutes |
| e. | | 5 minutes
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| 44. | A travels equal distances with speeds of 5km/hr and 6 km/hr and takes a
total time of 22 minutes. What is the total distance in KM. |
| a. | | 2 minutes |
| b. | | 4 minutes |
| c. | | 8 minutes |
| d. | | 10 minutes |
| e. | | 15 minutes
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| 45. | A and B starting from the same place walk at the rate of 8 km/hr and 8.5 km/hr respectively.
What time will they take to be 10.5 km apart, if they walk in the same direction? |
| a. | | 10 hours |
| b. | | 25 hours |
| c. | | 20 hours |
| d. | | 11 hours |
| e. | | 21 hours
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| 46. | A and B starting from the same place walk at the rate of 3 km/hr and 3.8 km/hr respectively.
What time will they take to be 6.4 km apart, if they walk in the same direction? |
| a. | | 32 hours |
| b. | | 8 hours |
| c. | | 16 hours |
| d. | | 40 hours |
| e. | | 15 hours
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| 47. | A is twice as fast as B. The journey covered by B in 60 minutes will be covered by A in |
| a. | | 80 minutes |
| b. | | 50 minutes |
| c. | | 30 minutes |
| d. | | 10 minutes |
| e. | | 20 minutes
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| 48. | A is thrice as fast as B. The journey covered by B in 84 minutes will be covered by B in |
| a. | | 10 minutes |
| b. | | 28 minutes |
| c. | | 40 minutes |
| d. | | 70 minutes |
| e. | | 50 minutes
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| 49. | Two trains starting at same time from two stations 400 km apart and going in opposite
directions cross each other at a distance of 220 km from one of the stations. Find out the
ratio of their speeds. |
| a. | | 1:4 |
| b. | | 44:22 |
| c. | | 10:20 |
| d. | | 11:9 |
| e. | | 20:5
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| 50. | Two trains starting at same time from two stations 560 km apart and going in opposite
directions cross each other at a distance of 320 km from one of the stations. Find out the
ratio of their speeds. |
| a. | | 4:3 |
| b. | | 10:12 |
| c. | | 1:8 |
| d. | | 1:2 |
| e. | | 1:5
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