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    Question

    A and B together can complete a piece of work in 12

    days, while B and C can complete it in 15 days. A, B, and C together can complete the same work in 8 days. In how many days can A and C together complete the work?
    A 10 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 14 days Correct Answer Incorrect Answer
    D none Correct Answer Incorrect Answer

    Solution

    Let the total work be LCM of 12, 15, and 8 = 120 units. Work done per day by A and B = 120 / 12 = 10 units Work done per day by B and C = 120 / 15 = 8 units Work done per day by A, B, and C = 120 / 8 = 15 units Work done per day by A and C = (A, B, C) - (B) = 15 - 8 = 7 units Time taken by A and C = Total Work / Work per Day = 120 / 7 Correct answer: d.

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