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      Question

      X, Y and Z together can complete a work in 15 days. X

      and Y together can complete the same work in 30 days. Z alone can finish the same work in how many days?
      A 45 days Correct Answer Incorrect Answer
      B 35 days Correct Answer Incorrect Answer
      C 30 days Correct Answer Incorrect Answer
      D 40 days Correct Answer Incorrect Answer

      Solution

      Let us assume Z alone can complete the work in 'x' days The efficiency of X, Y, and Z = (1/15) The efficiency of X and Y = (1/30) The efficiency of Z = (1/x) = (1/30) + (1/x) = (1/15) By solving the value of 'x' ⇒ x = 30 days ∴ The required result will be 30 days.

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