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      Question

      Length of a train is three-fourths of the length of a

      platform. If the train crosses the platform in 63 seconds, then find the time taken by train to cross a pole.
      A 21 seconds Correct Answer Incorrect Answer
      B 24 seconds Correct Answer Incorrect Answer
      C 27 seconds Correct Answer Incorrect Answer
      D 30 seconds Correct Answer Incorrect Answer

      Solution

      Let the speed of train be 'v' m/s and the length of platform be '4L' metres.

      Length of train = (3/4) X 4L = '3L' metres

      So, (4L + 3L) = '63v'

      Or, 7L = 63v

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

      Required time = (3L/v)

      = (27v/v) [from equation (I) ]

      = 27 seconds

      Hence, option c.

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