A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same time the gazelle begins to run

Question

A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same time the gazelle begins to run aways at a rate of 16 meters per second. Which equation represents the time, t, for the cheetah to reach the gazelle?

Answer 1

d = r · t

d + 300_cheertah = 18t

d_gazelle = 16t

The running times are equal!

 

(d + 300) / 18 = d / 16

 

Solve for d then determine time.