Answer:
Cat runs 4 meters per second
Dog runs 3 meters per second
Step-by-step explanation:
Draw a picture, you should have a right triangle with hypotenuse of 10 m
The cat runs with a rate of x+1 m/s
The dog runs with a rate of x m/s
Formulas needed: d=rt and pythagorean theorem
distance cat ran = (x+1)(2s)
distance dog ran = (x)(2s)
(distance cat ran)^2 + (distance dog ran)^2 = 10^2
(2x+2)^2+(2x)^2=100
solve for x
x = -4 or 3 (exclude the negative answer cause its extraneous)
x=3, plug in to rate equations above and cat runs 4 meters per second
while the dog runs 3 meters per second
