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      Question

      X can do a piece of work in 36 days. He worked at it for

      6 days and then Y finished it in 20 days. In how many days can X and Y together finish the work?
      A 11(2/3) days Correct Answer Incorrect Answer
      B 12(1/4) days Correct Answer Incorrect Answer
      C 14(2/5) days Correct Answer Incorrect Answer
      D 10(3/5) days Correct Answer Incorrect Answer

      Solution

      Xrsquo;s six day work = 6/36 = 1/6.
      Remaining work = 1 ndash; 1/6 = 5/6
      This work was done by Y in 20 days.
      Y does 5/6th of the work in 20 days, he will finish the work in 20 times; 6/5 = 24 days.
      X Y together would take 1/36 + 1/24 = 5/72 i.e. 14(2/5) days to complete the work.

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