Question

Two cars are traveling in opposite directions at different rates. Two hours later, the cars are 140 mi apart. Express the distance traveled by the faster car in terms of the distance traveled by the slower car.

Answer 1

To express the distance traveled by the faster car in terms of the distance traveled by the slower car, solve the equation (x + speed of the faster car) * 2 = 140 for the speed of the faster car.

Step-by-step explanation:

Let's assume that the slower car is traveling at a rate of x miles per hour. Since the cars are traveling in opposite directions, the combined speed of the two cars is the sum of their individual speeds. Therefore, the combined speed is x miles per hour + the speed of the faster car.

After two hours, the cars are 140 miles apart, which means that the combined speed of the two cars multiplied by the time traveled is equal to the distance between them. So, we have the equation: (x + speed of the faster car) * 2 = 140.

To express the distance traveled by the faster car in terms of the distance traveled by the slower car, we need to solve the equation for the speed of the faster car.