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.
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.
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