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    Question

    P, Q and R can finish a job in 45 days, 60 days and 90

    days respectively. P and Q work together for 12 days. How long will R take to finish the leftover work?
    A 57 days Correct Answer Incorrect Answer
    B 48 days Correct Answer Incorrect Answer
    C 32 days Correct Answer Incorrect Answer
    D 28 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total work = 180 units (LCM of 45, 60, 90) Efficiency of P = 180/45 = 4 units/day Efficiency of Q = 180/60 = 3 units/day Efficiency of R = 180/90 = 2 units/day Work done by P and Q in 12 days = 12 × (4 + 3) = 84 units Remaining work = 180 − 84 = 96 units Time taken by R = 96/2 = 48 days

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