Solve the problem.
-The time it takes to complete a certain job varies inversely as the number of people working on that job. If it takes 36 hours for 11 carpenters to frame a house, then how long will it take 45 carpenters
To do the same job?
A)40 hr
B)13.8 hr
C)45 hr
D)8.8 hr

Question

Quizplus · Accepted Answer

The time it takes to complete a job varies inversely with the number of people, so $T = k/N$, where $T$ is time, $N$ is the number of people, and $k$ is a constant. Given $T = 36$ hours for $N = 11$ carpenters, we find $k = 36 \times 11 = 396$. For $N = 45$ carpenters, $T = 396 / 45 = 8.8$ hours.

Solve the Problem. -The Time It Takes to Complete a Certain Job Varies