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      Question

      Puneet and Qureshi together can complete (7/8)th of a

      piece of work in 9 days, Qureshi and Rohit together can complete (3/5)th of the work in 8 days and Puneet and Rohit together can complete (4/5)th of the work in 9 days. In how many days can Puneet alone do the work?
      A 18 days Correct Answer Incorrect Answer
      B 12 days Correct Answer Incorrect Answer
      C 10 days Correct Answer Incorrect Answer
      D 28 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let p, q and r be the respective part of the works that can be done by Puneet, Qureshi and Rohit in one day.  Given that,  p + q = [(7/8) × (1/9)] = 7/72  q + r = [(3/5) × (1/8)] = 3/40 p + r = [(4/5) × (1/9)] = 4/45 Therefore,  2(p+q+r) = (7/72) + (3/40) + (4/45) = 94/360 p + q + r = 47/360 p = (47/360) - (3/40) = 20/360 = 1/18 Therefore, P alone will take 18 days to complete the work.

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