Question

    TYPE 47

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

    alone is 4:6:3 respectively. If all three together complete the work in 8 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 = 3 : 2 : 4 So, let total work = (3x + 2x + 4x) × 8 = 72x unit Required days = 72x × 2/3 × 1/3x = 16 days

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