Two automobiles are 276 miles apart and start at the same time to travel toward each other. They travel at rates differing by 5 miles per hour. If they meet after 6 hours, find the rate of each.

Car 1 traveled at a rate of 25.5 miles per hour, while Car 2 traveled at a rate of 20.5 miles per hour.

Step-by-step explanation:

Given that both cars are 276 miles apart from each other, that one of the cars is moving at a speed 5mph faster than the other, and that both were finally found after 6 hours, to determine the speed of each One the following calculations must be made:

Both cars travel 6 hours to meet, but one of them, Car 1, does it at 5 mph more than the other. Therefore, over the course of 6 hours, it would travel 30 miles more than Car 2.

Therefore, subtracting those 30 miles traveled, the distance between them would be 246, which would be equally divided between the two cars. In this way, we can determine that Car 1 traveled 153 miles (246/2 + 30), while Car 2 traveled 123 miles (246/2).

Thus, since both traveled these distances in 6 hours, we can say that Car 1 traveled at 25.5 mph (153/6), while Car 2 traveled at 20.5 mph (123/6).