Question
'X' and 'Y' together can complete the work in 15 days.
'Y' alone can complete the work in 25 days. If Z is 25% more efficient than X, find the time taken by 'Z' alone to finish the work.Solution
Let the total work be 150 units Combined efficiency of 'X' and 'Y' = (150/15) = 10 units/day Efficiency of 'Y' alone = (150/25) = 6 units/day Efficiency of 'X' alone = 10 - 6 = 4 units/day Efficiency of 'Z' = 4 X (5/4) = 5 units/day Time taken by 'Z' alone to finish the work = 150 ÷ 5 = 30 days
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