Question
'X' and 'Y' together can complete the work in 16 days. 'Y' alone can complete the work in 24 days. If Z is 50% more efficient than X, find the time taken by 'Z' alone to finish the work.
Solution
Let the total work be 240 units Combined efficiency of 'X' and 'Y' = (240/16) = 15 units/day Efficiency of 'Y' alone = (240/24) = 10 units/day Efficiency of 'X' alone = 15 - 10 = 5 units/day Efficiency of 'Z' = 5 X (3/2) = (15/2) units/day Time taken by 'Z' alone to finish the work = 240 ÷ (15/2) = (240 X 2)/15 = 32 days
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