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Two trains are moving in opposite directions 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is_________?

Correct answer: C. 48

  • A. 36
  • B. 45
  • C. 48
  • D. 49

Explanation

For trains moving in opposite directions, relative speed is 60 km/h + 90 km/h = 150 km/h = 150 x 5/18 = 41.67 m/s. The total distance to be covered is 1.10 km + 0.90 km = 2.00 km = 2,000 m, so time = 2,000 m / 41.67 m/s = 48 seconds. The likely wrong choice is 36 seconds, which uses an incorrect relative speed or fails to add both train lengths.

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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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