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    Question

    TYPE 47

    The ratio of time taken by P, Q and R to complete work

    alone is 4:5:2 respectively. If all three together complete the work in 8 days, then find in how many days P alone will complete three-fourth of the same work?
    A 18 days Correct Answer Incorrect Answer
    B 9.3 days Correct Answer Incorrect Answer
    C 22.8 days Correct Answer Incorrect Answer
    D 19.5 days Correct Answer Incorrect Answer
    E 12 days Correct Answer Incorrect Answer

    Solution

    Ratio of efficiency of P, Q & R = 5 : 4 : 10 So, let total work = (5x + 4x + 10x) × 8 = 152x unit Required days = 152x × 3/4 × 1/5x = 22.8 days

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