Question
A can complete a piece of work in 10 days , and B can
complete the same work in 15 days . They start working together, and after some days A leaves. B completes the remaining work in 5 days . For how many days did A and B work together ?Solution
Let total work = LCM(10, 15) = 30 units A’s 1-day work = 30/10 = 3 units B’s 1-day work = 30/15 = 2 units B alone works for 5 days → work done by B = 2 × 5 = 10 units Remaining work done together = 30 − 10 = 20 units Together (A + B) do per day = 3 + 2 = 5 units Days they worked together = 20 / 5 = 4 days
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