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      Question

      Rahul does half the work done by Karan in 2/3 of the time.

      If they together can complete the work in 14 days, how much time will Karan take to complete the work?
      A 10.5 days Correct Answer Incorrect Answer
      B 24.5 days Correct Answer Incorrect Answer
      C 45.5 days Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      Let time taken by Karan to complete the work = t days

      Rahul takes 2 Γ— (2t/3) = 4t/3 days.

      Efficiency of Karan = 1/t,

      Efficiency of Rahul = 3/4t.

      Total efficiency = 1/t + 3/4t = 1/14
      Image
      Solving for t, we get t = 24.5 days.

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