Two cars started to move at the same time and the same direction, but one was moving twice as fast as the other’s. 6 hours later the two cars were 204 miles apart. Find the speed of each car.
Let x be the speed of the slower car in miles per hour. Then the speed of the faster car would be 2x.
In 6 hours, the slower car would have traveled 6x miles, and the faster car would have traveled 12x miles. The total distance between the two cars after 6 hours is the sum of their distances traveled: 6x + 12x = 204.
This simplifies to 18x = 204, so x = 204 / 18 = 11.33.
Therefore, the speed of the slower car is 11.33 miles per hour, and the speed of the faster car is 22.67 miles per hour.