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    Question

    TYPE 47

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

    alone is 6:7:3 respectively. If all three together complete the work in 7 days, then find in how many days P alone will complete two-third 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 = 7 : 6 : 14 So, let total work = (7x + 6x + 14x) × 7 = 189x unit Required days = 189x × 2/3 × 1/7x = 18 days

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