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 100 workers 6 weeks to build 4 miles of highway. How long will it take 160 workers to build 16 miles of highway?

Answer 1

t = k L/n

6 = k 4/100
so
k = 150

t = 150 (16/160) = 15 weeks