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      Question

      A train, which is 195.5 metres long, is running at a speed

      of 66 km/h. It takes 40 seconds to completely cross a platform. Determine the platformโ€™s length.
      A 480.5 m Correct Answer Incorrect Answer
      B 537.7 m Correct Answer Incorrect Answer
      C 436.5 m Correct Answer Incorrect Answer
      D 335.5 m Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the length of the platform be โ€˜xโ€™ metres

      Speed of the train = 66 ร— (5/18) = 18.33 m/s

      ATQ,

      (x + 195.5) = 18.33 ร— 40

      Or, (x + 195.5) = 733.2

      Or, x = 733.2 - 195.5

      Or, x = 537.7

      Therefore, the length of the platform = 537.7 metres

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