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    Question

    A and B together, B and C together and A and C together can complete a piece of work in 10 days, 14 days and 18 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.

    A 53:73:17 Correct Answer Incorrect Answer
    B 41:19:14 Correct Answer Incorrect Answer
    C 26:29:4 Correct Answer Incorrect Answer
    D 41:25:47 Correct Answer Incorrect Answer

    Solution

    Let, the total work be 630 units (LCM of 10, 14 and 18)
    Amount of work done by A and B together in one day = 630/10 = 63 units
    Amount of work done by B and C together in one day = 630/14 = 45 units
    Amount of work done by A and C together in one day = 630/18 = 35 units
    Amount of work done by A, B and C together in one day = (63 + 45 + 35)/2 = 71.5 units
    Amount of work done by A alone in one day = 71.5 – 45 = 26.5 units
    Amount of work done by B alone in one day = 71.5 – 35 = 36.5 units
    Amount of work done by C alone in one day = 71.5 – 63 = 8.5 units
    So the desired ratio = 53:73:17

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