Time, Speed & Distance

Ladakh Police Constable · Mathematics · 44 practice questions with answers and explanations: 15 Easy, 26 Medium, 3 Hard.

Sample questions

Sample Easy question 1

A train travels 300 km in 5 hours. Find its speed.

  1. 55
  2. 60
  3. 50
  4. 65
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Answer: B. Speed = distance/time = 300/5 = 60 km/h.

Sample Easy question 2

Convert a speed of 25 m/s into km/h.

  1. 80
  2. 85
  3. 90
  4. 95
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Answer: C. 25 × 18/5 = 90 km/h.

Sample Easy question 3

A cyclist covers 45 km in 3 hours. Find his speed.

  1. 12
  2. 14
  3. 13
  4. 15
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Answer: D. Speed = distance/time = 45/3 = 15 km/h.

Sample Medium question 4

A train 120 m long, running at 36 km/h, crosses a platform 150 m long. Find the time taken.

  1. 27 seconds
  2. 30 seconds
  3. 25 seconds
  4. 24 seconds
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Answer: A. Speed = 36 km/h = 10 m/s. Total distance = 120+150 = 270 m. Time = 270/10 = 27 seconds.

Sample Medium question 5

A train 100 m long crosses a stationary pole in 8 seconds. Find its speed in km/h.

  1. 42 km/h
  2. 45 km/h
  3. 48 km/h
  4. 40 km/h
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Answer: B. Speed = 100/8 = 12.5 m/s = 12.5 × 18/5 = 45 km/h.

Sample Medium question 6

A boat's speed in still water is 10 km/h and the current's speed is 2 km/h. Find the time taken to travel 24 km upstream.

  1. 2.5 hours
  2. 3.5 hours
  3. 3 hours
  4. 4 hours
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Answer: C. Upstream speed = 10-2 = 8 km/h. Time = 24/8 = 3 hours.

Sample Hard question 7

Walking at 5 km/h, a man is 6 minutes late; walking at 6 km/h, he is 2 minutes early. Find the distance to his destination.

  1. 4 km
  2. 4.5 km
  3. 3 km
  4. 3.5 km
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Answer: A. The time difference is 8 minutes = 8/60 hr; solving d/5 - d/6 = 8/60 gives d = 4 km.

Sample Hard question 8

A train overtakes two persons walking in the same direction at 3 km/h and 5 km/h respectively, and passes them in 10 and 11 seconds respectively. Find the speed of the train (in km/h).

  1. 27 km/h
  2. 23 km/h
  3. 25 km/h
  4. 29 km/h
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Answer: C. Since the train's length L is the same in both cases: (V-3)×10 = (V-5)×11 (using relative speed × time). This gives 10V-30 = 11V-55, so V = 25 km/h.

Sample Hard question 9

A thief is spotted by a policeman 200 m away. When the policeman starts chasing, the thief also starts running. If the thief's speed is 8 km/h and the policeman's speed is 10 km/h, find the distance the thief runs before being caught.

  1. 900 m
  2. 800 m
  3. 850 m
  4. 750 m
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Answer: B. Relative speed = 10-8 = 2 km/h. Time to close 200 m (0.2 km) gap = 0.2/2 = 0.1 hours. Distance thief runs = 8 × 0.1 = 0.8 km = 800 m.

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