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    A and B together can complete a work in 12 days and A, B and C together can complete the same work in 6 days. The efficiency of A is twice the efficie
    Question



    A and B together can complete a work in 12 days and A, B and C together can complete the same work in 6 days. The efficiency of A is twice the efficiency of B and C alone can complete the task in R+ 8 days. Find the time taken by A alone to the complete the work.

    A.

    R+14

    B.

    R+12

    C.

    R+16

    D.

    R

    E.

    2R

    Correct option is A


    Total work = 12 units
    Efficiency of A+B = 12/12 = 1 unit
    Efficiency of A = 2/3 units
    Efficiency of B = 1/3 units
    Efficiency of A+B+C = 12/6 = 2 units
    Efficiency of C = 1unit
    Time taken by C = 12
    R + 8 = 12
    R = 4

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