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Answered

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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?

Sagot :

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

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