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      Question

      β€˜A’ alone can complete a work in 35 days while

      β€˜A’ and β€˜B’ together can complete the same work in 20 days. How much percentage of the work, β€˜B’ alone can complete in 28 days?
      A 50% Correct Answer Incorrect Answer
      B 65% Correct Answer Incorrect Answer
      C 66% Correct Answer Incorrect Answer
      D 55% Correct Answer Incorrect Answer
      E 60% Correct Answer Incorrect Answer

      Solution

      Let the total work = L.C.M of 35 and 20 = 140 units Then, efficiency of β€˜A’ alone = 140 Γ· 35 = 4 units/day Combined efficiency of β€˜A’ and β€˜B’ = 140 Γ· 20 = 7 units/day So, efficiency of β€˜B’ = 7 – 4 = 3 units/day So, work done by β€˜B’ alone in 28 days = 3 Γ— 28 = 84 units So, percentage of work completed by β€˜B’ = (84 Γ· 140) Γ— 100 = 60%

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