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    Question

    C and D together can complete a work in 36 days. If C

    alone can do it in 60 days, how many days will D take to complete the work alone?
    A 72 days Correct Answer Incorrect Answer
    B 90 days Correct Answer Incorrect Answer
    C 80 days Correct Answer Incorrect Answer
    D 96 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 180 units. {LCM (36 and 60)}
    So, combined efficiency of 'C' and 'D' = 180 Ć· 36 = 5 units/day
    Efficiency of 'C' = 180 Ć· 60 = 3 units/day
    So, efficiency of 'D' = 5 - 3 = 2 units/day
    So, time taken by 'D' to do the work alone = 180 Ć· 2 = 90 days

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