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    Question

    A work can be completed by β€˜A’ and β€˜B’, alone in

    20 days and 10 days, respectively. Find the number of days taken by β€˜C’ to complete the same work alone if β€˜A’, β€˜B’ and β€˜C’ together can complete the whole work in 5 days.
    A 15 days Correct Answer Incorrect Answer
    B 18 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 22 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total work = 20 units (LCM of 20 and 10) Efficiency of β€˜A’ = (20/20) = 1 units/day Efficiency of β€˜B’ = (20/10) = 2 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (20/5) = 4 units/day Efficiency of β€˜C’ = 4 – (1 + 2) = 1 units/day Required time taken = (20/1) = 20 days

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