Question

Eric has been training for the Friendly Paws Charity Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2.5 miles around his neighborhood before school and a longer route at the park after school. By the end of the week, Eric had run a total of 35 miles. Which equation can you use to find how many miles, x, Eric ran each day after school?

Answer 1

5y = 22.5 or y = 4.5

Explanation:

Eric ran 2.5 miles before school every day, so his total distance from running around his neighborhood is 2.5x5 = 12.5 miles.

Let's call the distance Eric ran each day after school "y". Since he ran the same longer route every day, we can write an equation to find his total distance from running at the park:

y + y + y + y + y = 5y

So Eric's total distance for the week is:

12.5 + 5y = 35

To find how many miles, x, Eric ran each day after school, we need to solve for y:

12.5 + 5y = 35

5y = 22.5

y = 4.5

Therefore, Eric ran 4.5 miles each day after school. The equation used to find this is:

5y = 22.5 or y = 4.5