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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 × (5/18) = 20 m/s

    Speed of train 'Y' = 36 × (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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