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    Question

    A and B together can complete a piece of

    work in 66 days while B and C together can complete the same work in 50 days. All of three together can complete 80% of the whole work in 26.4 days then find the time taken by A and C together to complete the whole work. Note: You have to find approx. value
    A 22 days Correct Answer Incorrect Answer
    B 28 days Correct Answer Incorrect Answer
    C 39 days Correct Answer Incorrect Answer
    D 42 days Correct Answer Incorrect Answer
    E 60 days Correct Answer Incorrect Answer

    Solution

    Time taken by A, B and C together to complete the whole work = 26.4/0.80 = 33 days
    Let total amount of work = 1650 (LCM of 66, 50 and 33)
    Efficiency of (A + B) = 1650/66 = 25 units per day
    Efficiency of (B + C) = 1650/50 = 33 units per day
    Efficiency of (A + B + C) = 1650/33 = 50 units per day
    Efficiency of A = 50 – 33 = 17 units per day
    Efficiency of C = 50 – 25 = 25 units per day
    Desired time = 1650/42 = 39.3 days = 39 days

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