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    Question

    β€˜A’ alone can do some work in 10 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 25 days Correct Answer Incorrect Answer
    B 27 days Correct Answer Incorrect Answer
    C 30 days Correct Answer Incorrect Answer
    D 32 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work be 60 units. {LCM (10 and 12)} So, efficiency of β€˜A’ = (60/10) = 6 units/day So, efficiency of β€˜B’ = (6 x 0.5) = 3 unit/day Efficiency of β€˜B’ and β€˜C’ together = (60/12) = 5 units/day So, efficiency of β€˜C’ = 5 – 3 = 2 units/day So, time taken by β€˜C’ to finish the work alone = (60/2) = 30 days

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