Answer:
The dog will catch the cat at 33.33 sec
Step-by-step explanation:
Let
x------> distance the cat runs before being caught by the dog,
Remember that
The speed is equal to divide the distance by the time
v=d/t
solve for t
t=d/v
so
equate the time
x/24=(200+x)/30
30x=24(200+x)
30x=4,800+24x
30x-24x=4,800
x=4,800/6=800 m
t=d/v=800/24=33.33 sec
or
t=(800+200)/30=1,000/30=33.33 sec
C C C C C C C C is the answer
Yes, it will always be a rational number. I'll expound on this by defining what a rational number is. It is any number that can be expressed as a fraction. Otherwise, it is called an irrational number with a non-terminating decimal expansion. So, although 1/3 has a non-terminating decimal expansion because it is equal to 0.33333333...., it is still a rational number because it can be expressed into a fraction.
