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      Question

      'Karan', 'Ravi', and 'Deepak' together can complete a work

      in 24 days. 'Karan' and 'Ravi' together can complete the same work in 96 days. 'Deepak' alone can finish the same work in how many days?
      A 12 days Correct Answer Incorrect Answer
      B 32 days Correct Answer Incorrect Answer
      C 30 days Correct Answer Incorrect Answer
      D 25 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work = 96 units (LCM of 24 and 96)

      Combined efficiency of 'Karan' and 'Ravi' = (96/96) = 1 unit/day

      Combined efficiency of 'Karan', 'Ravi', and 'Deepak' = (96/24) = 4 units/day

      Efficiency of 'Deepak' = 4 - 1 = 3 units/day

      Time taken by 'Deepak' to complete the work alone = (96/3) = 32 days

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