Question

A dog and a cat start running from the same corner around the rectangular garden. Dog runs west and the cat runs north. Cat's speed is 1 meter per second faster than the dog's speed. After 2 seconds the distance between them is 10 meters. Find their speed in meters per second.
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Answer 1

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

Answer 2

Answer:

the answer is the length is 5 / 6 yards

Step-by-step explanation: