Solve the problem.
-The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 150 seconds with an average speed of 4 feet per second. Find the
Average speed of the swimmer if it takes 200 seconds to finish the race.
A) 4 feet per second
B) 3 feet per second
C) 5 feet per second
D) 2 feet per second

Question

Quizplus · Accepted Answer

The relationship between time and speed is given by $T = \frac{k}{S}$, where $T$ is the time, $S$ is the speed, and $k$ is a constant. Given $T_1 = 150$ seconds and $S_1 = 4$ feet per second, we find $k = T_1 \times S_1 = 150 \times 4 = 600$. For $T_2 = 200$ seconds, using $k = T_2 \times S_2$, we find $S_2 = \frac{k}{T_2} = \frac{600}{200} = 3$ feet per second.

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