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      Question

      Two workers, A and B, can finish a task in 36 days and 48

      days respectively, working alone. How many days will they take to complete the work together?
      A 20(4/7) days Correct Answer Incorrect Answer
      B 18(1/9) days Correct Answer Incorrect Answer
      C 23(4/7) days Correct Answer Incorrect Answer
      D 13(3/7) days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 144 units (LCM of 36 and 48)

      Efficiency of 'A' = (144 ÷ 36) = 4 units/day

      Efficiency of 'B' = (144 ÷ 48) = 3 units/day

      Required time = 144 ÷ (4 + 3) = (144 ÷ 7) = 20(4/7) days

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