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      Question

      A can complete a piece of work in┬а 10 days , and B can

      complete the same work in┬а 15 days . They start working together, and after some days A leaves. B completes the remaining work in┬а 5 days . For how many days did┬а A and B work together ?
      A 4 days Correct Answer Incorrect Answer
      B 7 days Correct Answer Incorrect Answer
      C 3 days Correct Answer Incorrect Answer
      D 5 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total work = LCM(10, 15) = 30 units AтАЩs 1-day work = 30/10 = 3 units BтАЩs 1-day work = 30/15 = 2 units B alone works for 5 days тЖТ work done by B = 2 ├Ч 5 = 10 units Remaining work done together = 30 тИТ 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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