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    Question

    A can do a work in 16 days and B can do the same work in

    12 days. How long will it take for A and B to complete the work if they work together?
    A 6.86 days Correct Answer Incorrect Answer
    B 7.5 days Correct Answer Incorrect Answer
    C 8.33 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer

    Solution

    A’s rate of work = 1/16, B’s rate of work = 1/12. Together, their rate of work = (1/16 + 1/12) = (3 + 4) / 48 = 7 / 48. Therefore, the time taken to complete the work = 48 / 7 = 6.86 days.

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