Answer: the rate of the slower car is 93 kilometers per hour.
Explanation:
Two cars leave towns 1000 kilometers apart at the same time and travel toward each other. This means that by the time they meet, they would have travelled a total distance of 1000 kilometers.
Let x represent the rate of the slower car. One car's rate is 14 kilometers per hour less than the other's. This means that the rate of the faster car is (x + 14) km/h
Distance = speed × time
If they meet in 5 hours, then the distance covered by the slower car is 5x kilometers.
Also, after 5 hours, the distance covered by the faster car is 5(x + 14) kilometers.
Since the total distance covered is 1000 kilometers, then
5x + 5(x + 14) = 1000
5x + 5x + 70 = 1000
10x = 1000 - 70
10x = 930
x = 930/10
x = 93