UPSC Prelims 2018·CSAT·Quantitative Aptitude·Time, Speed and Distance

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

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Last updated 23 May 2026, 3:31 pm IST
  1. A12
  2. B15
  3. C16
  4. D18Correct

Explanation

To cross a man, the train needs to cover a distance equal to its own length. Distance = 200 metres. Speed = 40 kmph. To use consistent units, convert speed from kmph to m/s: 40 kmph = 40 * (5/18) m/s = 200/18 m/s = 100/9 m/s. Time = Distance / Speed Time = 200 metres / (100/9 m/s) Time = 200 * (9/100) seconds Time = 2 * 9 seconds = 18 seconds. Therefore, the train will cross the man in 18 seconds. Option A (12), B (15), C (16) are incorrect. Option D (18) is correct.
Quantitative Aptitude: A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the rail
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