Question
Ram can finish a task alone in 45 days, whereas Ram and
Rahul working together can complete the same task in 12 days. If Rahul works on the task alone for 9 days, what percentage of the task will he complete?Solution
Let the total work = L.C.M of 45 and 12 = 180 units Then, efficiency of Ram = 180 ÷ 45 = 4 units/day Combined efficiency of Ram and Rahul = 180 ÷ 12 = 15 units/day So, efficiency of Rahul alone = 15 - 4 = 11 units/day Work done by Rahul in 9 days = 11 X 9 = 99 units So, percent of work completed = (99/180) X 100 = 55%
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