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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time and Distance

A train 240 m long overtakes a man walking in the same direction at 6 km/h in 24 seconds. A second train of the same length, moving at the same speed as the first train, passes a platform in 40 seconds. What is the length of the platform?

This question is flawed and has no valid key.

  1. A120 m
  2. B160 mCorrect
  3. C200 m
  4. D240 m

Explanation

Train speed relative to the man = 240/24 = 10 m/s = 36 km/h, so the train speed = 36 + 6 = 42 km/h = 35/3 m/s. Hmm, check units: 6 km/h = 5/3 m/s, so train speed = 10 + 5/3 = 35/3 m/s. In 40 s it covers 40 × 35/3 = 466.67 m, so platform = 226.67 m, which is not an option.

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