Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t = [tex]\frac{kn}{w}[/tex] ← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 = [tex]\frac{30k}{6}[/tex] ( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t = [tex]\frac{2n}{w}[/tex] ← equation of variation
When w = 5 and n = 40 , then
t = [tex]\frac{2(40)}{5}[/tex] = [tex]\frac{80}{5}[/tex] = 16 hours
