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6 workers can construct a kitchen in 17 hours. How long should it take 9 workers to construct the kitchen?
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11.22 hours
6 workers - 17 hours to do work. => 1 worker does 1/6 th the work in 17 hours. => 1 worker does the work in 17*6 hours. Therefore if there are nine people each person does 1/9 th the work. Time taken = 1/9 th the time taken by one worker to complete work = 17*6 /9 = 11.22
\[\frac{17}{6}=\frac{x}{9}\] \[x=\frac{17\times 9}{6}\]
six is two thirds of nine. so two third of seventeen is 11.22
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