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    • Question

      A train overtakes a scooterist who is moving in the same

      direction at 36 km/h. If the train takes 18 seconds to pass the scooterist and its speed is 2.5 times that of the scooter, what is the length of the train?
      A 270 m Correct Answer Incorrect Answer
      B 265 m Correct Answer Incorrect Answer
      C 300 m Correct Answer Incorrect Answer
      D 225 m Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of the scooter = 36 × (5/18) = 10 m/s

      So, speed of the train = 10 × 2.5 = 25 m/s

      Let the length of the train be 'x' metres

      ATQ:

      x / (25 - 10) = 18

      So, x = 270

      Length of the train = 270 metres

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