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    Question

    K and L can complete a work in 16 days. If K alone can

    complete it in 48 days, how long will L take to complete the work alone?
    A 16 days Correct Answer Incorrect Answer
    B 20 days Correct Answer Incorrect Answer
    C 24 days Correct Answer Incorrect Answer
    D 30 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 48 units. {LCM (16 and 48)}
    So, combined efficiency of 'K' and 'L' = 48 ├╖ 16 = 3 units/day
    Efficiency of 'K' = 48 ├╖ 48 = 1 unit/day
    So, efficiency of 'L' = 3 - 1 = 2 units/day
    So, time taken by 'L' to do the work alone = 48 ├╖ 2 = 24 days

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