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    Question

    β€˜A’ alone can do some work in 22 days. β€˜B’ and

    β€˜C’ together can do the same work in 12 days. If β€˜B’ is half as efficient as β€˜A’, then find the time taken by β€˜C’ to complete the work alone.
    A 10.5 days Correct Answer Incorrect Answer
    B 11.5 days Correct Answer Incorrect Answer
    C 16.5 days Correct Answer Incorrect Answer
    D 19.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work be 132 units. {LCM (22 and 12)} So, efficiency of β€˜A’ = (132/22) = 6 units/day So, efficiency of β€˜B’ = (6 x 0.5) = 3 unit/day Efficiency of β€˜B’ and β€˜C’ together = (132/12) = 11 units/day So, efficiency of β€˜C’ = 11 – 3 = 8 units/day So, time taken by β€˜C’ to finish the work alone = (132/8) = 16.5 days

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