Answer:
Time taken by cheetah to catch up to the antelope is 4 seconds.
Step-by-step explanation:
Given : A cheetah that is running 90 feet per second is 120 feet behind an antelope that is running 60 feet per second.
To find : How long will it take the cheetah to catch up to the antelope?
Solution :
Let 'x' be the time taken by cheetah to catch up to the antelope.
A cheetah that is running 90 feet per second.
Distance covered by Cheetah is [tex]D=90x[/tex]
Antelope that is running 60 feet per second.
Distance covered by Antelope is [tex]D=60x[/tex]
According to question,
Cheetah is 120 feet behind an antelope.
i.e. [tex]90x-120=60x[/tex] (as distance remain same)
[tex]90x-60x=120[/tex]
[tex]30x=120[/tex]
[tex]x=\frac{120}{30}[/tex]
[tex]x=4[/tex]
The time taken is 4 second.
Therefore, Time taken by cheetah to catch up to the antelope is 4 seconds.
