Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After 2 hours, they are 232 miles apart. What is the speed of each car?

Find the speed of each car.

Let a be the first car

Let b be the second car

=> a = x miles per hour

=> b = x + 12 miles per hour

=> 2 (x + x + 12) = 232 miles per hour

=> 2x + 12 = 232

=> 2x + 12 = 116

=> 2x = 116 - 12

=> 2x / 2 = 104 / 2

=> x = 52 (speed of Car A)

=> 52 + 12 = 64 miles per hour (speed of Car B)