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    Question

    The speeds of train 'A' and 'B' are 18 m/s and 22 m/s,

    respectively. Whereas the lengths of train 'A' and 'B' are in the ratio 3:5, respectively. If the trains take 8 seconds to cross each other while travelling in opposite directions, then find the length of train 'A'.
    A 120 metres Correct Answer Incorrect Answer
    B 144 metres Correct Answer Incorrect Answer
    C 160 metres Correct Answer Incorrect Answer
    D 180 metres Correct Answer Incorrect Answer

    Solution

    Let the length of trains 'A' and 'B' be '3x' metres and '5x' metres, respectively. ATQ; {3x + 5x}/{18 + 22} = 8
    {8x/40} = 8
    or, 8x = 320
    or, x = 40
    So, length of train 'A' = 3x = 3 × 40 = 120 metres

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