a cheetah that is running 90 feet per

Humphrey Moindi

Humphrey Moindi

Answered question

2022-10-04

a cheetah that is running 90 feet per second is 120 feet behind an antelope that is running 60 feet per second.how long will it take the cheetah to catch up to the antelope

Answer & Explanation

Nick Camelot

Nick Camelot

Skilled2023-05-25Added 164 answers

Given:
- The cheetah is running at a speed of 90 feet per second.
- The antelope is running at a speed of 60 feet per second.
- The cheetah is initially 120 feet behind the antelope.
Let's denote the time it takes for the cheetah to catch up to the antelope as t (in seconds).
In time t, the cheetah will cover a distance equal to its speed multiplied by t (90t), while the antelope will cover a distance equal to its speed multiplied by t (60t).
Since the cheetah starts 120 feet behind the antelope, the relative distance between them decreases by 120 feet as time progresses.
Therefore, we can set up the equation:
90t60t=120
Simplifying the equation:
30t=120
Dividing both sides of the equation by 30:
t=12030
Simplifying further:
t=4
Hence, it will take 4 seconds for the cheetah to catch up to the antelope.

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