Multiple choice

A train passed two persons who are walking in the opposite direction in which the train is moving, at the rate of (5) m/s and (10) m/s in (6) second and (5) seconds respectively. Find the length of the train.

  1. 150

  2. 200

  3. 180

  4. 100
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A Correct answer
Explanation

When train passes a person walking opposite at 5 m/s in 6s: (train speed + 5) × 6 = L. When passing at 10 m/s in 5s: (train speed + 10) × 5 = L. Equating: 6v + 30 = 5v + 50 gives v = 20 m/s. Length = (20 + 5) × 6 = 150 m. Both cases give same length.

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