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      Question

      A completes a work in 15 days, B completes the same work

      in 8 days while B and C jointly complete the same work in 4 days. If A and C jointly complete the same work in x days while A and B jointly complete it in y days, what is the value of x/y ?
      A 1 Correct Answer Incorrect Answer
      B 1 (1/2) Correct Answer Incorrect Answer
      C 1/2 Correct Answer Incorrect Answer
      D More than one of the above Correct Answer Incorrect Answer
      E None of the above Correct Answer Incorrect Answer

      Solution

      Given: A completes work in 15 days → Work per day = 1/15 B completes work in 8 days → Work per day = 1/8 B & C together complete work in 4 days → Work per day = 1/4 C's Work per Day    A + C’s Work per Day    LCM of 15 and 8 = 120 :  So, A + C complete work in: x = 120/23 A + B’s Work per Day  So, A + B complete work in : y = 120/23 To find (x/y) 

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