Question

A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route as the cat. If the cat's speed is 17 feet per second and the mouse's speed is 12 feet per second, how long will it take the cat to catch up with the mouse?

Answer 1

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 =  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  =$\frac{distance }{speed}$

now we know that distance is  4 feet

and the speed is 17 -12 = 5 feet per second

Thus the time is

= $\frac{4}{5}$

= 0.8 seconds