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      Question

      β€˜C’ and β€˜D’ can complete a piece of work

      together in 24 days. If β€˜C’ alone can complete it in 40 days, how long would β€˜D’ take to do the same work alone?
      A 50 days Correct Answer Incorrect Answer
      B 26 days Correct Answer Incorrect Answer
      C 60 days Correct Answer Incorrect Answer
      D 20 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 120 units. {LCM (24 and 40)}

      Combined efficiency of 'C' and 'D' = 120 Γ· 24 = 5 units/day

      Efficiency of 'C' = 120 Γ· 40 = 3 units/day

      Efficiency of 'D' = 5 - 3 = 2 units/day

      So, time taken by 'D' alone = 120 Γ· 2 = 60 days

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