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      Question

      The length of train 'X' is 'y' metres and that of train 'Y'

      is (y + 150) metres. If the speeds of train 'X' and 'Y' are 72 km/h and 36 km/h, respectively, and they take 12 seconds to cross each other while travelling in opposite directions, then find the length of train 'X'.
      A 105 m Correct Answer Incorrect Answer
      B 120 m Correct Answer Incorrect Answer
      C 150 m Correct Answer Incorrect Answer
      D 250 m Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of train 'X' = 72 ├Ч (5/18) = 20 m/s

      Speed of train 'Y' = 36 ├Ч (5/18) = 10 m/s

      ATQ;

      {(150 + 2y)/(20 + 10)} = 12

      Or, 150 + 2y = 360

      Or, 2y = 210

      Or, y = 105

      So, length of train 'X' = 105 metres

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