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    Question

    In a 200-metre race, runner A can give runner B a 20-metre

    head start and still finish at the same time. Similarly, runner B can give runner C a 10-metre head start and still finish at the same time. If runners A and C start the 200-metre race together from the same starting point, by how many metres will A beat C?
    A 21 m Correct Answer Incorrect Answer
    B 24 m Correct Answer Incorrect Answer
    C 27 m Correct Answer Incorrect Answer
    D 29 m Correct Answer Incorrect Answer

    Solution

    Ratio of speed of A:B = 200:180 = 10:9

    Ratio of speed of B:C = 200:190 = 20:19

    So, ratio of speed of A:B:C = 200:180:171

    So, A beats C by 29 metres.

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