Time, Speed & Distance

LSSSSB Non-Technical · Mathematics · 44 practice questions with answers and explanations: 15 Easy, 26 Medium, 3 Hard.

Sample questions

Sample Easy question 1

How much time does it take to cover 100 km at a speed of 40 km/h?

  1. 2.25 hrs
  2. 2 hrs
  3. 2.5 hrs
  4. 2.75 hrs
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Answer: C. Time = distance/speed = 100/40 = 2.5 hours.

Sample Easy question 2

Convert a speed of 72 km/h into m/s.

  1. 18 m/s
  2. 20 m/s
  3. 22 m/s
  4. 24 m/s
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Answer: B. 72 km/h × (5/18) = 20 m/s.

Sample Easy question 3

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 Medium question 4

A train running at 72 km/h crosses a 250 m platform in 26 seconds. Find the length of the train.

  1. 250 m
  2. 260 m
  3. 280 m
  4. 270 m
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Answer: D. Speed = 20 m/s; total distance covered = 520 m; train length = 520 - 250 = 270 m.

Sample Medium question 5

Two trains start from the same station and travel in opposite directions at 100 km/h and 80 km/h. If they are 540 km apart, find the time taken to meet.

  1. 4 hours
  2. 2.5 hours
  3. 3 hours
  4. 3.5 hours
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Answer: C. Relative speed (opposite directions) = 100+80 = 180 km/h. Time = 540/180 = 3 hours.

Sample Medium question 6

Car A travels at 60 km/h and Car B at 40 km/h in the same direction. If Car B has a 40 km head start, find the time Car A takes to catch up.

  1. 2 hours
  2. 3 hours
  3. 2.5 hours
  4. 1.5 hours
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Answer: A. Relative speed (same direction) = 60-40 = 20 km/h. Time to close the 40 km gap = 40/20 = 2 hours.

Sample Hard question 7

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 8

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.

Sample Hard question 9

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.

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