Solve the problem.
-The number of hours it takes to paint a house is inversely proportional to the number of people painting. If it takes 3 workers $17.7$ hours to paint a certain house, how long would it take 5 workers? Round to one tenth of an hour.
A) $15.7$ hours
B) $19.7$ hours
C) $10.6$ hours
D) $53.0$ hours

Question

Quizplus · Accepted Answer

The time it takes to paint a house is inversely proportional to the number of workers, so $T = k/N$, where $T$ is time, $N$ is the number of workers, and $k$ is a constant. With 3 workers taking 17.7 hours, $k = 3 \times 17.7 = 53.1$. For 5 workers, $T = 53.1 / 5 = 10.62$, which rounds to $10.6$ hours.

Solve the Problem 17.717.717.7 Hours to Paint a Certain House, How Long Would It

Solve the Problem $17.7$ Hours to Paint a Certain House, How Long Would It