l3slyrodrigu3z
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.