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    Question

    A can complete a work in 10 days and B can complete the

    same work in 15 days. They work together for some days, then A leaves. B finishes the remaining work in 5 days. For how many days did A and B work together?
    A 2 days Correct Answer Incorrect Answer
    B 7 days Correct Answer Incorrect Answer
    C 4 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Rate(A) = 1/10, Rate(B) = 1/15 Rate(A+B) = 1/10 + 1/15 = (3+2)/30 = 1/6 Work done by B in last 5 days = 5/15 = 1/3 So work done together = 1 тИТ 1/3 = 2/3 Time together = (2/3) ├╖ (1/6) = (2/3)├Ч6 = 4 days

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