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      Question

      A alone can complete a work in 20 days and B alone in 30

      days. A works alone for 10 days and then B joins him. In how many total days will the work be completed?
      A 18 days Correct Answer Incorrect Answer
      B 16 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 24 days Correct Answer Incorrect Answer

      Solution

      A’s 1 day work = 1/20 B’s 1 day work = 1/30 Work done by A in 10 days = 10/20 = 1/2 Remaining work = 1/2 Together, A + B = 1/20 + 1/30 = 1/12 Time to finish remaining work = (1/2) / (1/12) = 6 days Total time = 10 + 6 = 16 days

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