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    Question

    A can finish a piece of work in 10 days and B can finish

    the same work in 15 days. If they work together, in how many days will the work be completed?
    A 8 days Correct Answer Incorrect Answer
    B 2 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer

    Solution

    A’s 1-day work = 1/10 B’s 1-day work = 1/15 Together in 1 day: = 1/10 + 1/15 LCM of 10 and 15 = 30 1/10 = 3/30, 1/15 = 2/30 So, together = (3 + 2)/30 = 5/30 = 1/6 Time to complete work = 1 ÷ (1/6) = 6 days

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