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      Question

      A can complete a work in 20 days and B can complete it

      in 30 days. They work together for 6 days, then B leaves. In how many total days will the work be completed?
      A 16 days Correct Answer Incorrect Answer
      B 10 days Correct Answer Incorrect Answer
      C 18 days Correct Answer Incorrect Answer
      D 25 days Correct Answer Incorrect Answer

      Solution

      ATQ, A’s 1-day work = 1/20 B’s 1-day work = 1/30 Together 1-day work = 1/20 + 1/30 = (3+2)/60 = 5/60 = 1/12 Work done in 6 days = 6 × (1/12) = 1/2 Remaining work = 1/2 A alone time for remaining = (1/2) ÷ (1/20) = (1/2)×20 = 10 days Total time = 6 + 10 = 16 days

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