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A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of

Correct answer: C. 240

  • A. 120
  • B. 260
  • C. 240
  • D. 220Educational Resources

Explanation

The train's speed is 54 km/h x 5/18 = 15 m/s. Passing the man takes 20 seconds, so the train length is 15 m/s x 20 s = 300 m; passing the platform takes 36 seconds and covers 15 m/s x 36 s = 540 m, making the platform length 540 m - 300 m = 240 m. The likely wrong choice is 260 m, usually caused by subtracting with an incorrect speed conversion.

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About Time, Speed and Distance

Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.

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