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      Question

      K and L can complete a work in 16 days. If K alone can

      complete it in 48 days, how long will L take to complete the work alone?
      A 16 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 24 days Correct Answer Incorrect Answer
      D 30 days Correct Answer Incorrect Answer

      Solution

      Let the total work be 48 units. {LCM (16 and 48)}
      So, combined efficiency of 'K' and 'L' = 48 Γ· 16 = 3 units/day
      Efficiency of 'K' = 48 Γ· 48 = 1 unit/day
      So, efficiency of 'L' = 3 - 1 = 2 units/day
      So, time taken by 'L' to do the work alone = 48 Γ· 2 = 24 days

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