Question

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 many miles of highway could 225 workers build in 33 weeks?

Answer 1

Answer: They can make 27 miles of highway.

Explanation:

Since we have given that

Number of workers = 300

Number of weeks = 22

Work done by them = 24 miles of highway.

If the number of workers = 225

Number of weeks = 33

We need to find the number of miles of highway.

We will use "Time and work" method.

`(300* 22)/(24)=(225* 33)/(x)\\\\275=(7425)/(x)\\\\x=(7425)/(275)\\\\x=27`

Hence, they can make 27 miles of highway.