Multiple choice

A passenger train 150m long is travelling with a speed of 36 km/hr. If a man is cycling in the direction of the train at 9 km/hr., the time taken by the train to pass the man is

  1. 10 sec

  2. 15 sec

  3. 18 sec

  4. 20 sec
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The train's length must cover the entire distance relative to the man. Relative speed = (36-9) kmph = 27 kmph = 27 × 5/18 = 7.5 m/s. Time = Distance/Relative Speed = 150m/7.5 m/s = 20 seconds. The man is moving in the same direction, so we subtract speeds.

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