Quintin’s running club is running a 2 1/2

Question

mile race. There are 8 members, and each one only wants to run 1/4
mile. Is this possible? Why or why not?(1 point)
Responses

No, they have too many people to make that distance work.
No, they have too many people to make that distance work.

No, they would need more people to make that distance work.
No, they would need more people to make that distance work.

Yes, that distance will work if they each run it twice.
Yes, that distance will work if they each run it twice.

Yes, that distance is exactly right to split the distance between 8 people.

Answer 1

To determine if the 8 members of Quintin’s running club can each run 1/4 mile and cover the total distance of 2 1/2 miles, let's break it down:

1. The total distance of the race is 2 1/2 miles, which can be expressed as: \[ 2.5 \text{ miles} = \frac{5}{2} \text{ miles} \]

2. Each member wants to run 1/4 mile. If there are 8 members, the total distance they would run is: \[ 8 \times \frac{1}{4} \text{ mile} = \frac{8}{4} \text{ miles} = 2 \text{ miles} \]

Since 2 miles is less than the 2 1/2 miles (or 2.5 miles) that they need to cover, they cannot cover the full distance if each runs only 1/4 mile.

Therefore, the correct response is: No, they have too many people to make that distance work.