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    Question

    TYPE 47

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

    alone is 6:8:4 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 = 4 : 3 : 6 So, let total work = (4x + 3x + 6x) × 8 = 104x unit Required days = 104x × 3/4 × 1/4x = 19.5 days

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