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      Question

      Karan can do 60% of a job in 36 days while Meena does 20%

      in 18 days. Karan works for 20 days and stops. Calculate how many days Meena will take to complete the rest of the work.
      A 48 days Correct Answer Incorrect Answer
      B 60 days Correct Answer Incorrect Answer
      C 32 days Correct Answer Incorrect Answer
      D 72 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Time taken by Karan to complete whole work = (36 / 0.60) = 60 days

      Time taken by Meena to complete whole work = (18 / 0.20) = 90 days

      Let the total work be 180 units (LCM of 60 and 90)

      Efficiency of Karan = (180 / 60) = 3 units/day

      Efficiency of Meena = (180 / 90) = 2 units/day

      Work completed by Karan in 20 days = 20 Γ— 3 = 60 units

      Remaining work = 180 - 60 = 120 units

      Therefore, required time = (120 / 2) = 60 days

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