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      Question

      β€˜A’ alone can complete a work in 60 days while

      β€˜A’ and β€˜B’ together can complete the same work in 42 days. How much percentage of the work, β€˜B’ alone can complete in 63 days?
      A 44% Correct Answer Incorrect Answer
      B 40% Correct Answer Incorrect Answer
      C 45% Correct Answer Incorrect Answer
      D 47% Correct Answer Incorrect Answer
      E 48% Correct Answer Incorrect Answer

      Solution

      Let the total work = L.C.M of 60 and 42 = 420 units Then, efficiency of β€˜A’ alone = 420 Γ· 60 = 7 units/day Combined efficiency of β€˜A’ and β€˜B’ = 420 Γ· 42 = 10 units/day So, efficiency of β€˜B’ = 10 – 7 = 3 units/day So, work done by β€˜B’ alone in 63 days = 3Γ— 63 = 189 units So, percentage of work completed by β€˜B’ = (189 Γ· 420) Γ— 100 = 45%

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