Final answer:
The speed of one car is 40 mph, and the speed of the other car is 65 mph.
Step-by-step explanation:
Let's denote the speed of one car as x mph. Since the other car is traveling 25 mph faster, its speed can be represented as (x + 25) mph. When the cars are traveling towards each other, the total distance they cover is 630 miles. The formula to calculate the total distance is given by:
Total Distance = Speed of Car 1 * Time + Speed of Car 2 * Time
Substituting the given values, we get:
630 = 6x + 6(x + 25)
Simplifying the equation, we have:
630 = 6x + 6x + 150
Combine like terms:
630 = 12x + 150
Subtract 150 from both sides:
480 = 12x
Divide both sides by 12:
x = 40
Therefore, the speed of one car is 40 mph, and the speed of the other car is 40 + 25 = 65 mph.