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    Question

    A can complete a work in 18 days and B in 24 days. They

    work together for 4 days, then C (who alone can complete the work in 36 days) joins them. Find the total time to complete the work.
    A 9(1/9) days Correct Answer Incorrect Answer
    B 8(8/9) days Correct Answer Incorrect Answer
    C 7(2/9) days Correct Answer Incorrect Answer
    D 3(5/9) days Correct Answer Incorrect Answer

    Solution

    ATQ, A+B rate = 1/18 + 1/24 = (4+3)/72 = 7/72 work/day Work done in 4 days = 4 ├Ч 7/72 = 28/72 = 7/18 Remaining work = 1 тИТ 7/18 = 11/18 A+B+C rate = 1/18 + 1/24 + 1/36 = (4+3+2)/72 = 9/72 = 1/8 Time for remaining = (11/18) ├╖ (1/8) = (11/18) ├Ч 8 = 44/9 days Total time = 4 + 44/9 = (36/9 + 44/9) = 80/9 days = 8 (8/9) days

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