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    Question

    Train ‘X’ is 360 metres long and takes 18 seconds to

    cross a pole. Speed of train ‘Y’ is 22 m/sec. If both trains cross each other in 16 seconds while travelling towards each other, then what is the length of train ‘Y’?
    A 320 m Correct Answer Incorrect Answer
    B 215 m Correct Answer Incorrect Answer
    C 312 m Correct Answer Incorrect Answer
    D 224 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Speed of train ‘X’ = (360/18) = 20 m/sec

    So, relative speed of train ‘X’ with respect to train ‘Y’ (travelling towards each other) = 20 + 22 = 42 m/sec

    Let the length of train ‘Y’ = ‘x’ metres

    Distance covered by both trains together in 16 seconds = (360 + x) metres

    Or, 16 × 42 = 360 + x

    Or, 672 = 360 + x

    Or, x = 672 – 360 = 312

    So, length of train ‘Y’ = 312 metres

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