Question

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

1 answer

To determine if it's possible for each of the 8 members of the running club to run 1/4 mile and cover the total distance of 2 1/2 miles, we can do the following calculation:

Each member runs \( \frac{1}{4} \) mile, and there are 8 members.

So the total distance covered by all members is: \[ 8 \times \frac{1}{4} = 2 \text{ miles} \]

However, the race distance is 2 1/2 miles, which is the same as \( 2.5 \) miles.

Since \( 2 \text{ miles} \) is less than \( 2.5 \text{ miles} \), the members running only \( \frac{1}{4} \) mile each will not cover the required distance.

Thus, it is not possible for the 8 members to run a total of 2 1/2 miles if each only runs 1/4 mile.