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      Question

      Amit and Ankit can complete a job in 60 days. Working

      together with Sumit, they can finish it in 40 days. How many days would Sumit alone take to complete the work?
      A 120 days Correct Answer Incorrect Answer
      B 168 days Correct Answer Incorrect Answer
      C 188 days Correct Answer Incorrect Answer
      D 114 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 120 units. (LCM of 60 and 40)

      So, combined efficiency of Amit and Ankit = 120 ÷ 60 = 2 units/day

      And efficiency of Amit, Ankit and Sumit = 120 ÷ 40 = 3 units/day

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

      So, required time = 120 ÷ 1 = 120 days

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