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    Question

    P and Q can do a work in 10 days. Q and R can do it in

    12 days. All three together can finish in 8 days. In how many days can P and R can complete the work?
    A 10 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 15 days Correct Answer Incorrect Answer

    Solution

    Let, total work = LCM of (10, 12 and 8) = 120 Efficiency of (P + Q) = 12 Efficiency of (Q + R) = 10 Efficiency of (P + Q + R) = 15 Efficiency of R = 15-12 = 3 Efficiency of P = 15-10 = 5 Efficiency of (P+R) = 3 + 5 = 8 P and R both complete the whole work in = 120/8 = 15 days

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