Question

    TYPE 47

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

    alone is 5:6:3 respectively. If all three together complete the work in 6 days, then find in how many days P alone will complete two-third of the same work?
    A 12.5 days Correct Answer Incorrect Answer
    B 19.5 days Correct Answer Incorrect Answer
    C 14 days Correct Answer Incorrect Answer
    D 16 days Correct Answer Incorrect Answer
    E 12 days Correct Answer Incorrect Answer

    Solution

    Ratio of efficiency of P, Q & R = 6 : 5 : 10 So, let total work = (6x + 5x + 10x) × 6 = 126x unit Required days = 126x × 2/3 × 1/6x = 14 days

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