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?
A. Yes, that distance will work if they each run it twice.
B. No, they have too many people to make that distance work.
C. No, they would need more people to make that distance work.
D. Yes, that distance is exactly right to split the distance between 8 people.
A. Yes, that distance will work if they each run it twice.
To determine whether it's possible for each of the 8 members of Quintin's running club to run 1/4 mile in a 2 1/2 mile race, we need to do some calculations.
The total distance they need to cover is 2 1/2 miles. To find out how many 1/4 mile segments are in that distance, we divide 2 1/2 by 1/4:
2 1/2 ÷ 1/4 = (5/2) ÷ (1/4) = 5/2 × 4/1 = (5 × 4) / (2 × 1) = 20/2 = 10
So, there are 10 segments of 1/4 mile in 2 1/2 miles.
Since there are only 8 members in Quintin's running club, it is not possible for each member to run exactly 1/4 mile. The closest they could get is if they each ran two segments of 1/4 mile, which would be a total of 8 segments. Therefore, the correct answer is option C: No, they would need more people to make that distance work.
B. No, they have too many people to make that distance work.
Explanation:
If there are 8 members in the running club and each wants to run 1/4 mile, the total distance covered by all the members would be:
8 * 1/4 = 8/4 = 2 miles
Since the race is 2 1/2 miles long, the distance covered by the club members is less than the required distance. Therefore, it is not possible for each member to run only 1/4 mile and complete the race.