Mathematics: 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 50 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 37.5 seconds to finish the race.

15 liters of water for 40 flower pots...

The amount of time it takes a swimmer to swim

fayvetteville

04.11.2021

Step-by-step explanation:

Let be t = time to finish

s = average speed

Since is inversely proportional, if t is higher, s lower.

The constant of proportion (k) is

t = k / s

k = t * s

k = 37.5 * 4

k = 150

now that we know k, we can find s for t = 50 seconds

t = k / s

s = k/t

s = 150 / 50

s = 3

0,0(0 оценок)