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      Question

      Train A when travelling with a speed of 90 km/h crosses a

      pole in 10 seconds. Find the time taken by the train A to cross another train B of length 20% more than that of train A which is coming from the opposite direction with a speed of 54 km/h.
      A 12.5 seconds Correct Answer Incorrect Answer
      B 13.75 seconds Correct Answer Incorrect Answer
      C 14.2 seconds Correct Answer Incorrect Answer
      D 15 seconds Correct Answer Incorrect Answer
      E 16.5 seconds Correct Answer Incorrect Answer

      Solution

      Speed of train A = 90 ├Ч 5/18 = 25 m/s
      Length of train A = 25 ├Ч 10 = 250 metres
      Length of train B = 1.2 ├Ч 250 = 300 metres
      Speed of train B = 54 ├Ч 5/18 = 15 m/s
      Relative speed = 25 + 15 = 40 m/s (opposite direction)
      Total distance = 250 + 300 = 550 metres
      Desired time = 550/40 = 13.75 seconds

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