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      Question

      Kabir can build a fence in 16 days. Working together, Kabir

      and Arjun can finish it in 8 days. How long will Arjun take to build the fence alone?
      A 36 Correct Answer Incorrect Answer
      B 38 Correct Answer Incorrect Answer
      C 27 Correct Answer Incorrect Answer
      D 16 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 16 units {LCM (16 and 8)}

      Efficiency of Kabir = (16/16) = 1 unit/day

      Efficiency of Kabir and Arjun together = (16/8) = 2 units/day

      Efficiency of Arjun = 2 - 1 = 1 unit/day

      Time required by Arjun to complete the work alone = (16/1) = 16 days

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