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    Question

    The ratio of the length of two trains P and Q is 5:6 and

    the ratio of the time taken by both trains to cross a man standing on a platform is 2:3. If the speed of the train P is 25 km/h, then find the speed of the train Q in m/s.
    A 50/9 m/s Correct Answer Incorrect Answer
    B 63/8 m/s Correct Answer Incorrect Answer
    C 40/3 m/s Correct Answer Incorrect Answer
    D 35/3 m/s Correct Answer Incorrect Answer

    Solution

    Let the length of train P = 5a , time = 2b Speed = 5a/2b Let the length of train Q = 6a , time = 3b Speed = 6a/3b Ratio of the speed = (5a/ 2b)/ (6a/ 3b) => 5/4 Speed of train Q = (25/5) × 4 = 20 km/h in m/s = 20 × (5/18) = 50/9 m/s

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