Question

A cheetah that is running 90 ft./s is 120 feet behind an antelope That is running 60 ft./s how long will it take the cheetah to catch up to the antelope

Answer 1

Answer:

4 seconds.

Step-by-step explanation:

Let t be the time in seconds when the cheetah catches the antelope.

-Cheetah's speed is 90ft/s and the antelope's is 60ft/s with a 120ft distance between them.

#The expression of the distance of the two when they catch up is;

$Cheetah:90t\\\\\\Antelope:60t+120$

#Since the distance of the two will be equal at that point:

$90t=60t+120\\\\30t=120\\\\t=4$

Hence, the Cheetah catches the antelope after 4 seconds.