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 300

Question 823296: 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 300 workers 22 weeks to build 24 miles of highway. How long will it take 225 workers to build 27 miles of highway?
Found 2 solutions by richwmiller, TimothyLamb:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
300*22=6600 worker weeks
6600/24=275
275 worker weeks per mile
27*275=7425 worker weeks
7425/225=33 weeks

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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t = K(L/w)
K = t(w/L)
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K = 22(300/24)
K = 275
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t = K(L/w)
t = 275(27/225)
t = 33 weeks
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