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      Question

      Suppose Y individuals can complete a task in (Y - 28)

      days, and (Y + 12) individuals can finish the same task in (Y - 32) days, what is the number of days it would take for (3/4) Y individuals to complete the same task together?
      A 26(5/3) days Correct Answer Incorrect Answer
      B 26(2/3) days Correct Answer Incorrect Answer
      C 26(2/7) days Correct Answer Incorrect Answer
      D 26(2/5) days Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      we can say that let efficiency of a man be 'e' units/day ATQ, Y × (Y - 28) × e = (Y + 12) × (Y - 32) × e Y = 48 Hence total work will be = 48 × (48 - 28) × e = 960e units Required days will be then = 960e/(48 × (3/4) × e)  = (80/3) or = 26(2/3) days

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