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      Question

      Peter and Rachel can complete a project together in 20

      days. Peter takes four times as long as Rachel to complete the same project alone. Find the time taken by Rachel to complete the project alone.
      A 22 days Correct Answer Incorrect Answer
      B 25 days Correct Answer Incorrect Answer
      C 20 days Correct Answer Incorrect Answer
      D 18 days Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let Rachel's time to complete the project alone be 'r' days. Therefore, Peter's time is '4r' days. Their combined work rate is (1/r) + (1/4r) = (1/20). Rachel can complete the project alone in 25 days.

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