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posledela
2 years ago
11

the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work

ers. if 30 computers can be assembled by 6 workers in 10 hours, how long would it take 5 workers to assemble 40 computers?
Mathematics
1 answer:
olga2289 [7]2 years ago
3 0

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

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