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      Question

      A train crosses a pole and a platform of length 624

      metres in 13 seconds and 29 seconds, respectively. Find the length of train.
      A 467 metres Correct Answer Incorrect Answer
      B 487 metres Correct Answer Incorrect Answer
      C 507 metres Correct Answer Incorrect Answer
      D 527 metres Correct Answer Incorrect Answer

      Solution

      Let the speed of train be 'v' m/s.
      Length of train = '13v' metres

      So, (13v + 624) ÷ 29 = 'v'

      Or, 13v + 624 = 29v
      Or, 16v = 624
      So, 'v' = 39

      Therefore, length of the train = 13 × 39 = 507 metres

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