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    Question

    A and B together can complete a piece of work in 50 days

    while B and C together can complete the same work in 60 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 51 days Correct Answer Incorrect Answer
    B 57 days Correct Answer Incorrect Answer
    C 50 days Correct Answer Incorrect Answer
    D 42 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 = 3300 (LCM of 50, 60 and 33) Efficiency of (A + B) = 3300/50 = 66 units per day Efficiency of (B + C) = 3300/60 = 55 units per day Efficiency of (A + B + C) = 3300/33 = 100 units per day Efficiency of A = 100 – 55 = 45 units per day Efficiency of C = 100 – 66 = 34 units per day Desired time = 3300/79 = 41.7 days = 42 days

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