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    Question

    If ‘P’ can complete a task in 24 days and ‘P’

    with ‘Q’ together can finish it in 15 days, then how many days will ‘Q’ take to complete the work alone?
    A 33 days Correct Answer Incorrect Answer
    B 22 days Correct Answer Incorrect Answer
    C 56 days Correct Answer Incorrect Answer
    D 40 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 120 units {LCM (24 and 15)} Efficiency of ‘P’ = (120/24) = 5 units/day Efficiency of ‘P’ and ‘Q’ together = (120/15) = 8 units/day Efficiency of ‘Q’ = (8 – 5) = 3 units/day Time taken by ‘Q’ to finish the work alone = (120/3) = 40 days

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