Final answer:
To find the distance a car would travel in a given number of hours at a constant rate, use the formula 'distance = rate * time'.
Step-by-step explanation:
If a car travels 100 miles in 2 hours, the average speed of the car is 50 miles per hour (100 miles ÷ 2 hours = 50 mph). To find out how far the car would travel in x hours at the same rate, we use the formula for distance which is speed multiplied by time: Distance = Speed × Time.
To solve this problem, we can use the formula:
distance = rate * time
Given that the car traveled 100 miles in 2 hours at a certain rate, we can assume that the rate is constant. Therefore, if we let x represent the number of hours, the equation becomes:
distance = rate * x
Substituting in the known values, we can solve for the distance:
100 = rate * x
Dividing both sides of the equation by x gives:
distance/x = rate
So, the car would travel 100 miles in x hours.