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      Question

      Train P travelling at 53 km/hr crosses another train Q,

      having three fourth of its length and travelling in opposite direction at 37 km/hr in 28 seconds. Train P passed a railway platform in 36 seconds. Find the length of platform.
      A 180 m Correct Answer Incorrect Answer
      B 350 m Correct Answer Incorrect Answer
      C 130 m Correct Answer Incorrect Answer
      D 380 m Correct Answer Incorrect Answer
      E 200 m Correct Answer Incorrect Answer

      Solution

      Let the length of the first train is x metre Length of second train = 3x/4 Therefore, (53 + 37) x 5/18 = {x + (3x/4)}/28 ⇒ 90 x 5/18 = (7x/4)/28 ⇒ x = 400 m Therefore, let the length of the platform be y metre ⇒ 53 x 5/18 = (400 + y)/36 ⇒ 530 = 400 + y ⇒ y = 530 – 400 = 130 m

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