Question

brainlist if answer correct:

Two cars start out at the same point and at the same time one starts driving north while the other starts driving east at a speed that is 10 mph faster than the car driving north. 12 hours after the cars start driving they are 600 miles apart. What was the speed of each car?​

Answer 1

Let x be the speed of the first car in miles per hour. After 12 hours it will have gone 12x miles. The other car, driving east, has speed x+ 4. After 12 hours it will have gone 12(x+ 4) miles. Again by the Pythagorean theorem,

(12x)^2+(12(x+4)^2=600^2. Solve that equation for x.