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A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the joɡɡer?

Correct answer: C. 36 sec

  • A. 3.6 sec
  • B. 18 sec
  • C. 36 sec
  • D. 72 sec

Explanation

Because the jogger and train move in the same direction, their relative speed is 45 km/h - 9 km/h = 36 km/h = 10 m/s. The train must cover 240 m + 120 m = 360 m to completely pass the jogger, so time = 360 m / 10 m/s = 36 seconds. The likely wrong choice is 24 seconds, represented indirectly by using only the 240 m gap and ignoring the train's length, while 18 seconds would use the wrong relative speed.

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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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