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      Question

      Advesh can do a certain electric work in the same time

      in which Pavan and Druv can do it together. If Advesh and Pavan together could do it in 20 days and Druv alone in 60 days, then Pavan alone could do it in:
      A 60 days Correct Answer Incorrect Answer
      B 58 days Correct Answer Incorrect Answer
      C 55 days Correct Answer Incorrect Answer
      D 62 days Correct Answer Incorrect Answer

      Solution

      Let the total work be 1 unit. Druv's 1-day work = 1/60 Advesh and Pavan together: 1-day work = 1/20 Advesh alone does the same work as Pavan and Druv together, so: Advesh's 1-day work = Pavan's 1-day work + Druv's 1-day work Let Pavan's 1-day work = P Then Advesh's 1-day work = P + 1/60 So, P + (P + 1/60) = 1/20 2P + 1/60 = 1/20 2P = 1/20 - 1/60 = (3 - 1)/60 = 2/60 = 1/30 P = 1/60 So, Pavan alone can do the work in 60 days.

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