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 200 workers 3 weeks to build 2 miles of highway. How many miles of highway could 250 workers build in 6 weeks?

Answer 1

Answer:

W = 5 miles

Explanation:

Work done by 200 worker in 3 week is equivalent to build 2 miles highway

So we will have

work done by each worker in 3 week is equivalent to

$W_1 = \frac{2 miles}{200}$

$W_1 = \frac{1}{100} mile/worker$

now work done in each week is given as

$w = \frac{1}{100 \times 3 week}$

$w = \frac{1}{300} miles/(person\times week)$

now we have to find the work done by 250 workers in 6 weeks

so we will have

$W = \frac{1}{300} \times 6 \times 250 miles$

$W = 5 miles$