Question

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

    alone is 4:3:6 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 12 days Correct Answer Incorrect Answer
    B 18 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

    The time ratio of P:Q:R = 4:3:6. Let their times be 4x, 3x, and 6x days. Together, they complete the work in 8 days. To find x:

    Solving, we get x = 6. Find P’s Time 4x = 4×6 = 24 days Find Time for ¾ Work 3/4 ×24 = 18 days

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