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    Question

    Time is taken by two trains running in opposite

    directions to cross a man standing on the platform in 31 seconds and 19 seconds respectively. It took 24 seconds for the trains to cross each other. What is the ratio of their speeds?
    A 2:3 Correct Answer Incorrect Answer
    B 5:7 Correct Answer Incorrect Answer
    C 1:3 Correct Answer Incorrect Answer
    D 3:7 Correct Answer Incorrect Answer
    E 2:1 Correct Answer Incorrect Answer

    Solution

    Let the speed one train be x m/s and the speed of the second train be y m/s. Length of the first train = Speed × Time = 31x Length of second train = Speed × Time = 19y So, {(31x + 19y)/(x+y)} = 24 ⇒  31x + 19y = 24x + 24y ⇒  7x = 5y Therefore, x:y = 5:7

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