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      Question

      Train P travelling at 62 km/hr crosses another train Q,

      having three fourth of its length and travelling in opposite direction at 28 km/hr in 14 seconds. Train P passed a railway platform in 36 seconds. Find the length of platform.
      A 280 m Correct Answer Incorrect Answer
      B 160 m Correct Answer Incorrect Answer
      C 200 m Correct Answer Incorrect Answer
      D 300 m Correct Answer Incorrect Answer
      E 420 m Correct Answer Incorrect Answer

      Solution

      Let the length of the first train is x metre Length of second train = 3x/4 Therefore, (62 + 28) x 5/18 = {x + (3x/4)}/14 β‡’ 90 x 5/18 = (7x/4)/14 β‡’ x = 200 m Therefore, let the length of the platform be y metre β‡’ 62 x 5/18 = (200 + y)/36 β‡’ 620 = 200 + y β‡’ y = 620 – 200 = 420 m

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