# Answer to Question #18056 in Algebra for Chelsea

Question #18056

8. For his business, Gil has determined that the time it takes to finish a job varies inversely with the number of workers. This can be expressed as the equation below where T = time, k is a constant, and w = number of workers.

Gil's records show that 18 workers can finish a job in 6 days.

How many days will it take 12 workers to do the same job?

A. 4

B. 9

C. 12

D. 36

Gil's records show that 18 workers can finish a job in 6 days.

How many days will it take 12 workers to do the same job?

A. 4

B. 9

C. 12

D. 36

Expert's answer

Let x is a number of days that 12 workers need tofinish this job. 12 workers by x days can do the same job as 18 workers by 6

days. the we can write the equation:

12*x=18*6

x=18*6/12=9

Answer: B. 9

days. the we can write the equation:

12*x=18*6

x=18*6/12=9

Answer: B. 9

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