SOLUTION: Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150

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Question 624158: Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks?
Answer by lwsshak3(11628) About Me  (Show Source):
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Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks?
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let x=workers needed
(x/150)(15/12)(14)=21
15*14x/150*12*21
210x=37800
x=180
number of workers needed=180