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    10 men and 8 women together can complete a work in 20 days, while 12 men and 14 women can complete the work in 15 days. If Y women complete the whole
    Question



    10 men and 8 women together can complete a work in 20 days, while 12 men and 14 women can complete the work in 15 days. If Y women complete the whole work in 10 days, then find 2Y.

    A.

    142

    B.

    112

    C.

    132

    D.

    109

    E.

    114

    Correct option is C

    Let the efficiency of a man and a woman be m and w units/day respectively.
    ATQ,
    (10×m+8×w)×20=(12×m+14×w)×15
    40m+32w=36m+42w
    40m-36m=42w-32w
    4m=10w

    Total work = (10×5a+8×2a)×20=1320a units
    Value of Y =

    Required value 2Y = 132

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