Make use of the formula distance = rate x time
Let's say the distance traveled by the eastbound car is d
The distance traveled by the westbound car is 755 - d
If the rate of the eastbound car is x, then the rate of the westbound car is (x + 11)
The time traveled by both cars is 5 hours
Using the formula, we have these two equations:
d = 5x
755 - d = 5(x + 11)
Let's use the Substitution Method and replace d in the second equation with 5x
755 - 5x = 5(x + 11)
755 - 5x = 5x + 55
755 = 10x + 55
700 = 10x
x = 70
The eastbound car travels at a rate of 70 mph and the westbound car travels at a rate of 70 + 11 = 81 mph