The cat will take 0.8 seconds  to catch up with the mouse
Step-by-step explanation:
Given:
The  distance between the cat and the mouse =  4 feet
cat's speed  = 17 feet per second.
mouse's speed = Â 12 feet per second
To Find:
how long will it take the cat to catch up with the mouse = ?
Solution:
We know that
distance  = speed x  time
Rewriting the equation for time we get
time  =[tex]\frac{distance }{speed}[/tex]
now we know that distance is  4 feet
and the speed is 17 -12 = 5 feet per second
Thus the time is
= [tex]\frac{4}{5}[/tex]
= 0.8 seconds
The cat will take 0.8 seconds to catch up with the mouse.
Speed is defined as the ratio of distance and time.
Given
The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route as the cat.
The cat's speed is 17 feet per second and the mouse's speed is 12 feet per second.
The difference between the speed of the mouse and cat is;
= 17 - 12 = 5 feet
The time will it take the cat to catch up with the mouse is;
[tex]\rm Speed = \dfrac{Distance }{Time}\\\\Time = \dfrac{Distance }{Speed}\\\\Time = \dfrac{4}{5}\\\\Time = 0.8 \ seconds[/tex]
Hence, the cat will take 0.8 seconds to catch up with the mouse.
To know more about distance click the link given below.
https://brainly.com/question/6874309
