Question
lsquo;Arsquo; alone can complete a work in 50 days while
lsquo;Arsquo; and lsquo;Brsquo; together can complete the same work in 40 days. How much percentage of the work, lsquo;Brsquo; alone can complete in 66 days?Solution
Let the total work = L.C.M of 50 and 40 = 200 units Then, efficiency of lsquo;Arsquo; alone = 200 divide; 50 = 4 units/day Combined efficiency of lsquo;Arsquo; and lsquo;Brsquo; = 200 divide; 40 = 5 units/day So, efficiency of lsquo;Brsquo; = 5 ndash; 4 = 1 units/day So, work done by lsquo;Brsquo; alone in 66 days = 1 times; 66 = 66 units So, percentage of work completed by lsquo;Brsquo; = (66 divide; 200) times; 100 = 33%
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