Question
‘A’ alone can complete a work in 45 days while
‘A’ and ‘B’ together can complete the same work in 35 days. How much percentage of the work, ‘B’ alone can complete in 63 days?Solution
Let the total work = L.C.M of 45 and 35 = 315 units Then, efficiency of ‘A’ alone = 315 ÷ 45 = 7 units/day Combined efficiency of ‘A’ and ‘B’ = 315 ÷ 35 = 9 units/day So, efficiency of ‘B’ = 9 – 7 = 2 units/day So, work done by ‘B’ alone in 63 days = 2 × 63 = 126 units So, percentage of work completed by ‘B’ = (126 ÷ 315) × 100 = 40%
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