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Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

Difficulty: Easy

Correct Answer: 24 s

Explanation:

Given

  • Two 500 m trains run in opposite directions.
  • Speeds: slower = 30 km/h, faster driver = 45 km/h.
  • Find time taken by the slower train to pass the driver (a point) of the faster train.

Computation
Relative speed = 30 + 45 = 75 km/h = 75 × (5/18) = 20.833... m/sDistance to be covered = length of slower train = 500 mTime = Distance / Relative speed = 500 / 20.833... = 24 s

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