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      Question

      Ram, Ankit and Shivam together can do a piece of work in

      10/3 days. Ram could do it alone in 6 days and Ankit could do it alone in 12days. In how many days could Shivam do it alone?
      A 10 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 15 days Correct Answer Incorrect Answer
      D 25 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Shivam's 1 day work = 3/10 - (1/6+ 1/12) = 1/20 So Shivam will do this job in 20 days Alternate Method: R+A+S R A 10/3 6 12 LCM = 60 units Eff 18 : 10 : 5 So eff of S = 18 - (10+5) = 3 units So Shivam can do whole job in = 60/3 = 20 days

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