Verified answer

3 weeks = 2 miles

6 weeks = 4 miles

5 miles = 5/4 = 1.25

200 X 1.25 = 250 workers ANSWER

Here,

In 3 weeks to build 2 miles of highway, require = 200 workers,

SO,

In 1-week to build 1 mile of highway, require = 200 x 3 / 2

AND

In 6 weeks to build 5 miles of highway, require = 200 x 3 x 5 / 2 x 6 =

= 250 workers >===================================< ANSWER

All you have to do is set up a proportion, which is simply a comparison of two ratios.

n = number of workers needed to build 5 miles of highway in 6 weeks

(200 x 3)/2 = (n x 6)/5

600/2 = 6n/5

Now cross-multiply.

2 x 6n = 5 x 600

12n = 3000

n = 3000/12

n = 250

Therefore, 250 workers are needed to build 5 miles of highway in 6 weeks.

It would take 500 workers to build 5 miles in 6 weeks.

250

250