Question

the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of workers. if 30 computers can be assembled by 6 workers in 10 hours, how long would it take 5 workers to assemble 40 computers?

Answer 1

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = $\frac{kn}{w}$ ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = $\frac{30k}{6}$ ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = $\frac{2n}{w}$ ← equation of variation

When w = 5 and n = 40 , then

t = $\frac{2(40)}{5}$ = $\frac{80}{5}$ = 16 hours