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      Question

      Ravi and Sanjay take 54 days to build a fence. When they

      work along with Rahul, the work gets done in 36 days. Find the time Rahul alone would take to build the fence.
      A 120 days Correct Answer Incorrect Answer
      B 168 days Correct Answer Incorrect Answer
      C 108 days Correct Answer Incorrect Answer
      D 144 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 108 units. (LCM of 54 and 36)

      So, combined efficiency of Ravi and Sanjay = 108 ÷ 54 = 2 units/day

      And efficiency of Ravi, Sanjay and Rahul = 108 ÷ 36 = 3 units/day

      So, efficiency of Rahul = 3 – 2 = 1 unit/day

      So, required time = 108 ÷ 1 = 108 days

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