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      Question

      Train ‘X’ takes 54 seconds to pass a tree and 48

      seconds to completely cross train ‘Y’ when they are moving in opposite directions. If the speed of train ‘X’ is 36 km/h and the speed of train ‘Y’ is 54 km/h, what is the length of train ‘Y’?
      A 237 m Correct Answer Incorrect Answer
      B 723 m Correct Answer Incorrect Answer
      C 938 m Correct Answer Incorrect Answer
      D 660 m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of train ‘X’ = 36 km/hr = 36 × (5/18) = 10 m/s

      Speed of train ‘Y’ = 54 km/hr = 54 × (5/18) = 15 m/s

      Length of train ‘X’ = 10 × 54 = 540 metres

      Let the length of train ‘Y’ be ‘m’ metres.

      According to the question;

      (540 + m)/(10 + 15) = 48

      Or, 540 + m = 1200

      Or, m = 660 metres

      So, the length of train ‘Y’ = 660 metres

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