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      Question

      Length of a train is two-thirds of the length of a

      platform. If the train crosses the platform in 45 seconds, then find the time taken by train to cross a pole.
      A 15 seconds Correct Answer Incorrect Answer
      B 20 seconds Correct Answer Incorrect Answer
      C 18 seconds Correct Answer Incorrect Answer
      D 25 seconds Correct Answer Incorrect Answer

      Solution

      Let the speed of train be 'v' m/s and the length of platform be '3L' metres.

      Length of train = (2/3) X 3L = '2L' metres

      So, (3L + 2L) = '45v'

      Or, 5L = 45v

      So, 'L' = 9v ---------- (I)

      Required time = (2L/v)

      = (18v/v) [from equation (I) ]

      = 18 seconds

      Hence, option c.

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