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      Question

      X can do a piece of work in 20 days. He worked at it for

      4 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?
      A 10 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 13 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      X’s four days work = 4/20 = 1/5
      Remaining work = 1 – 1/5 = 4/5
      This work was done by Y in 16 days.
      Y does 4/5th of the work in 16 days, he will finish the work in 16 × 5/4 = 20 days.
      X & Y together would take 1/20 + 1/20 = 2/20 = 1/10 i.e. 10 days to complete the work.

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