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Quantitative Aptitude Practice Test: Time, Speed & Distance
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Quantitative Aptitude Practice Test: Time, Speed & Distance
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25 Questions

1. Towns P and Q are 60 km apart. A leaves town P for town Q at 10.00 a.m. @ 5 kmph and B leaves Q for P at 10.00 a.m. @ 3 kmph. At what time will they cross each other?
2. Two places PQ are 162 km apart. Trains leave P for Q and another Q for P meeting after 6 hrs. If the train travelling from P to Q runs 8 km per hour faster the speed of two trains are _____ km/hr
3. Pallavi and Richa start simultaneously from P and Q towards Q and P respectively. They meet on the way at T which is at a distance of 120 m from P. If Pallavi and Richa take 16s and 25s to reach their respective destination from T, then what is the distance between P and Q?
4. Two trains 100 km away from each other start from opposite directions at the same time. They cross each other at a distance of 55 km from one of the stations. What is the ratio of their speeds?
5. Vijay and Shiv start simultaneously from the opposite ends of a pool which is 50 m long. They pass each other, reach the respective ends and immediately turn back. Now they meet at a distance of 15 m from where Vijay had started, 10 s after the start. Find the speed of Shivku.
6. I traveled a third of my journey at a speed of 10 kmph, the next third at 9 kmph and the remaining at 8 kmph. If I had traveled half the journey at 10 kmph and other half at 8 kmph, I would have been a minute longer on the way. What distance did I travel?
7. A man in a train traveling at 30 kmph notices that a train going in the opposite direction passes him in 9 seconds. If the length of this train is 200 m, find its speed.
8. Excluding stoppages the speed of a bus is 60 km/hr and including stoppages it is 50 km/hr. For how many minutes does the bus stop per hour?
9. A car moves @ 40 kmph for one-third of the journey, @60 kmph for the next one-third of the journey and @80 kmph for the remaining one-third of the journey. Its overall average speed is
10. Towns P and Q are 90 km apart. A leaves town P for town Q at 11.00 a.m. @ 8 kmph and B leaves town Q for P at 12.00 a.m. @ 7 kmph. At what distance from P in km will they cross each other?
11. A bird flying around a square field of side 10 km @ 100, 200, 300, 400 kmph. Its average speed is _____ kmph
12. When I travel at 4/5th of my usual speed, I am 6 minutes late. What is my usual time of travel?
13. If a man’s speed with the current is 10 kmph, and the speed of the current is 0.5 kmph, then the man’s speed against the current is _____
14. A and B are racing on a circular track in the same direction with speeds of 20 m/s and 25 m/s respectively. Find the length of the track if they meet 20 s after they start.
15. A car covers a distance of 420 km with a constant speed. If its speed were 10 km/ph more it would have taken 1 hrs less to cover the distance. Find the speed of the car in km/hr
16. A train of 23 carriages - each of 60m length – has an engine of 120 m and is running at 60 kmph. The train shall cross a bridge measuring 2½ km in what time.
17. A man rows 15 km down in 3 hrs 45 min and 5 km up in 2 hr 30 minutes. His speed in still water is _____ kmph
18. A boat goes 30 km downstream in 75 minutes and the same distance upstream in 90 minutes. The speed (in kmph) of the stream is
19. A student walks from his house at 2½ kmph and reaches his school 4 minutes too late. The next day he increases his speed by a km an hour and reaches 8 minutes too early. How far (km) does his school fall from his house?
20. A man goes uphill at 24 km/hr and comes down at 36 km/hr. What is his average speed?
21. Two men left towards each other from towns A and B respectively. After crossing each other, they take 16 and 36 hours respectively in reaching their destinations. What is the ratio of their speeds?
22. A train is moving at a speed of 132 kmph. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long?
23. The length of the bridge is 130 meters. A train traveling at 45 kmph can cross the bridge in 30 seconds. Find the length of the train.
24. A train 110 m in length is running at a speed of 58 kmph. The time in which it will cross a passer-by who is walking at 4 kmph in the same direction is
25. A man walks a certain distance at 8 kmph and returns at 6 kmph. If the total time taken by him is 3½ hours, the total distance walked is _____

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