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    Question

    β€˜A’ alone can do some work in 13 days. β€˜B’ and

    β€˜C’ together can do the same work in 18 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 54.5 days Correct Answer Incorrect Answer
    B 50.5 days Correct Answer Incorrect Answer
    C 58.5 days Correct Answer Incorrect Answer
    D 51.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work be 234 units. {LCM (13 and 18)} So, efficiency of β€˜A’ = (234/13) = 18 units/day So, efficiency of β€˜B’ = (18 x 0.5) = 9 unit/day Efficiency of β€˜B’ and β€˜C’ together = (234/18) = 13 units/day So, efficiency of β€˜C’ = 13 – 9 = 4 units/day So, time taken by β€˜C’ to finish the work alone = (234/4) = 58.5 days

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