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      Question

      Anupam can do a piece of work in 36 days and Rajveer can

      do it in 15 days. Diksha can do the same work in (17/18) times the number of days required by both Anupam and Rajveer together. Initially Anupam and Rajveer worked together for 8 days and then both left. Diksha completed the rest of the work. For how many days did Diksha work?
      A 20/9 days Correct Answer Incorrect Answer
      B 22/13 days Correct Answer Incorrect Answer
      C 22/9 days Correct Answer Incorrect Answer
      D 21/17 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, we can say that the Part of the work done by Anupam and Rajveer in one day is = [1/36 + 1/15] = 17/180 Number of days required by Diksha to complete the entire work alone  = (17/18) × (180/17) = 10 days. 8 × (17/180) = (34/45) work completed by Anupam and Rajveer.  Leftover work for Diksha is = (11/45)th work. Then number of days for which Diksha will worked is = [(11/45) × (10/1)] = (22/9) days

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