Solve the problem.
-The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 60 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 100 seconds to finish the race.
A) 4 ft/sec
B) 2 ft/sec
C) 5 ft/sec
D) 3 ft/sec

Question

Quizplus · Accepted Answer

The relationship between time and speed is given by the formula $T = \frac{k}{S}$, where $T$ is the time, $S$ is the speed, and $k$ is a constant. Given $T_1 = 60$ seconds and $S_1 = 5$ ft/sec, we can find $k = T_1 \times S_1 = 60 \times 5 = 300$. For $T_2 = 100$ seconds, we solve for $S_2$ in $100 = \frac{300}{S_2}$, giving $S_2 = 3$ ft/sec.

Solve the Problem. -The Amount of Time It Takes a Swimmer to Swim