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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 11 days, 20 days and 12 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.
    A 19:26:16 Correct Answer Incorrect Answer
    B 41:19:14 Correct Answer Incorrect Answer
    C 41:11:5 Correct Answer Incorrect Answer
    D 47:15:4 Correct Answer Incorrect Answer
    E 14:2:7 Correct Answer Incorrect Answer

    Solution

    Let, the total work be 660 units (LCM of 11, 20 and 12)
    Amount of work done by A and B together in one day = 660/11 = 60 units
    Amount of work done by B and C together in one day = 660/20 = 33 units
    Amount of work done by A and C together in one day = 660/12 = 55 units
    Amount of work done by A, B and C together in one day = (60 + 33 + 55)/2 = 74 units
    Amount of work done by A alone in one day = 74 – 33 = 41 units
    Amount of work done by B alone in one day = 74 – 55 = 19 units
    Amount of work done by C alone in one day = 74 – 60 = 14 units
    So the desired ratio = 41:19:14

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