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    Question

    Amisha is 50% more efficient than Khushi. Amisha started

    a work, worked for 'w' days and then Khushi replaced Amisha. khushi completed the remaining work in (w + 12) days. The ratio of the work done by Amisha and khushi is 3:4. In how many days can Amisha and Khushi together can complete the whole work?
    A 23(4/5) Correct Answer Incorrect Answer
    B 17(4/5) Correct Answer Incorrect Answer
    C 16(4/5) Correct Answer Incorrect Answer
    D 19(3/5) Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ,  Let us assume that khushi  alone can complete the work in 'k' days khushi one day work is (1/k) Amisha one day work  is = (150/100) × (1/k) = (3/2k) w(3/2k) + (w + 12) (1/k) = 1.......(1) (3w/2k) : (w + 12)/k = 3:4...........(2) From (1) and (2) we will get  w = 12, and k = 42  so Amisha can complete the work in 28 days  and khushi in 42 days. (1/28) + (1/42) = (5/84)  or (84/5) or 16(4/5)

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