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    A, B, and C together can complete a piece of work in 12 3/5 days, while A and C together can finish it in 14 days. Find in how many days B alone can c
    Question



    A, B, and C together can complete a piece of work in 12 3/5 days, while A and C together can finish it in 14 days. Find in how many days B alone can complete 66.67% of the same work.

    A.

    90 days

    B.

    84 days

    C.

    73 days

    D.

    79 days

    E.

    None of these

    Correct option is B


    Information Given:
    A, B, and C together can complete a piece of work in 12 3/5 days,
    A and C together can finish it in 14 days
    Basic Explanation:
    Let total work (LCM of 63/5 & 14) = 126 units
    The efficiency of A, B and C together = 126/(63/5)=10 units/day
    The efficiency of A and C together = 126/14=9 units/day
    The efficiency of B = 10-9=1 unit/day
    Required day = (126×2/3)/1=84 days

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