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    Question

    Time is taken by two trains running in opposite

    directions to cross a man standing on the platform in 24 seconds and 14 seconds respectively. It took 20 seconds for the trains to cross each other. What is the ratio of their speeds?
    A 2:3 Correct Answer Incorrect Answer
    B 3:2 Correct Answer Incorrect Answer
    C 1:4 Correct Answer Incorrect Answer
    D 3:1 Correct Answer Incorrect Answer
    E 4:1 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 = 24x Length of second train = Speed × Time = 14y So, {(24x + 14y)/(x+y)} = 20 ⇒  24x + 14y = 20x + 20y ⇒  4x = 6y Therefore, x:y = 3:2

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