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      Question

      A train crosses a pole and a platform of length 504

      metres in 9 seconds and 21 seconds, respectively. Find the length of train.
      A 338 metres Correct Answer Incorrect Answer
      B 358 metres Correct Answer Incorrect Answer
      C 378 metres Correct Answer Incorrect Answer
      D 398 metres Correct Answer Incorrect Answer

      Solution

      Let the speed of train be 'v' m/s.
      Length of train = '9v' metres

      So, (9v + 504) ÷ 21 = 'v'

      Or, 9v + 504 = 21v
      Or, 12v = 504
      So, 'v' = 42

      Therefore, length of the train = 9 × 42 = 378 metres

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