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    A and B together can do 8/15 of a work in 5 days and B alone can do the remaining work in 7 days. Find in how many days A alone can do the work?
    Question


    A and B together can do 8/15 of a work in 5 days and B alone can do the remaining work in 7 days. Find in how many days A alone can do the work?

    A.

    15

    B.

    25

    C.

    12.5

    D.

    20

    E.

    50

    Correct option is B


    Remaining work = 1-8/15=7/15
    So, B alone can do 7/15 th of work = 7 days
    B alone can do the whole work = 15/7×7=15 days
    Both together can do the whole work = 15/8×5=75/8 days
    Total work = 75 unit
    Efficiency of B = 75/15=5 unit/day
    Efficiency of A = 8 –5 = 3 unit/hour
    Required days = 75/3 = 25 days

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