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      Question

      X can do a piece of work in 33 days. He worked at it for

      3 days and then Y finished it in 20 days. In how many days can X and Y together finish the work?
      A 11 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 15 days Correct Answer Incorrect Answer
      D 13 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      X’s 3 days work = 3/33 = 1/11
      Remaining work = 1 – 1/11 = 10/11
      This work was done by Y in 20 days.
      Y does 10/11th of the work in 20 days, he will finish the work in 20 × 11/10 = 22 days.
      X & Y together would take 1/22 + 1/22 = 2/22 = 1/11 i.e. 11 days to complete the work.

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