quintin's running club is running a 2 1/2 mile race with 8 members, and each one only wants to run 1/4. is it possible? why or why not?
No, it is not possible for each member of Quintin's running club to run only 1/4 of a 2 1/2 mile race.
For 8 members to each run 1/4 of the total distance, they would have to cover a total distance of 8 * 1/4 = 2 miles. However, the total distance of the race is 2 1/2 miles, which is greater than 2 miles. Therefore, it is not possible for all members to run only 1/4 of the race distance.
In order to determine if it is possible for each member of Quintin's running club to run 1/4 of a 2 1/2 mile race, we can calculate the total distance covered by the 8 members and compare it to the total race distance.
First, let's find out how much distance each member needs to cover:
1/4 of 2 1/2 miles is (1/4) * (5/2) miles, which simplifies to 5/8 mile.
Next, let's calculate the total distance covered by all 8 members:
8 members * (5/8 mile per member) = 40/8 miles = 5 miles.
As we can see, the total distance covered by all 8 members is 5 miles. However, the race distance is only 2 1/2 miles. Therefore, it is not possible for each member to run 1/4 of the race distance, as the total distance covered by the members exceeds the actual race distance.
To determine if it's possible for each member of Quintin's running club to run 1/4 of a 2 1/2 mile race, we need to calculate the total distance each member would run and compare it to the total race distance.
First, let's convert the race distance to a common fraction. 2 1/2 can also be written as 5/2.
Next, let's calculate the total distance each member would run if they each ran 1/4 of the race. Since there are 8 members, we multiply 1/4 by 8:
1/4 * 8 = 8/4 = 2
So, each member would run a total of 2 miles if they each ran 1/4 of the race.
Now, let's compare the total distance the members would run (2 miles) to the total race distance (5/2 miles):
2 miles < 5/2 miles
Since 2 miles is less than 5/2 miles, it is possible for each member of Quintin's running club to run 1/4 of the race.