Round your answer to two decimal places.
-The time it takes to complete a certain job varies inversely to the number of people working on that job. If it takes 20 hours for 13 carpenters to frame a house, then how long will it take 25 carpenters
To do the same job?
A) 25 hr
B) 40 hr
C) 10.4 hr
D) 16.3 hr

Question

Quizplus · Accepted Answer

The time it takes to complete a job varies inversely with the number of people, so $T = \frac{k}{n}$, where $T$ is time, $n$ is the number of people, and $k$ is a constant. Given $T = 20$ hours for $n = 13$ carpenters, we find $k = 20 \times 13 = 260$. For $n = 25$ carpenters, $T = \frac{260}{25} = 10.4$ hours.

Round Your Answer to Two Decimal Places