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 \(D=90x\)
Antelope that is running 60 feet per second.
Distance covered by Antelope is \(D=60x\)
According to question,
Cheetah is 120 feet behind an antelope.
i.e. \(90x-120=60x\) (as distance remain same)
\(90x-60x=120\)
\(30x=120\)
\(x=\frac{120}{30}\)
\(x=4\)
The time taken is 4 second.
Therefore, Time taken by cheetah to catch up to the antelope is 4 seconds.
