Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?
1/10 mile
1/8 mile
2 1/2 miles
160 miles
To solve this problem, we can first calculate how many 1/4-mile segments the runner completes in 8 minutes, and then multiply that number by 2 to find how far the runner can go in 16 minutes.
In 8 minutes, the runner completes 1/4 of a 5-mile race, which is 1/4*5 = 5/4 miles.
This means that in 8 minutes, the runner completes 5/4 miles.
To find how far the runner can go in 16 minutes, we need to double the distance traveled in 8 minutes.
So, the runner can go 5/4*2 = 10/4 miles in 16 minutes.
Simplifying 10/4, we get 2 1/2 miles.
Therefore, the runner can go 2 1/2 miles in 16 minutes.
To solve this multi-step problem, we need to find the distance the runner can go in 16 minutes at the same pace.
We know that the runner completes 1/4 of a 5-mile race every 8 minutes.
To find the distance the runner can go in 16 minutes, we need to find how many times 8 minutes goes into 16 minutes.
16 minutes ÷ 8 minutes = 2
So, the runner can go 2 times the distance they go in 8 minutes.
Now, we need to find the distance the runner covers in 8 minutes.
The runner covers 1/4 of a 5-mile race in 8 minutes.
1/4 × 5 = 5/4 = 1 1/4 miles
Now, we'll multiply the distance covered in 8 minutes by the factor of 2 since the runner is running for 16 minutes.
1 1/4 miles × 2 = 2 1/2 miles
Therefore, the runner can go 2 1/2 miles in 16 minutes.
To solve this problem, we need to determine how far the runner can go in 16 minutes given that the runner completes 1/4 of a 5-mile race every 8 minutes.
To begin, we can find out how far the runner goes in 8 minutes by calculating 1/4 of 5 miles:
(1/4) x 5 = 5/4 = 1.25 miles
Now, let's determine how far the runner goes in 1 minute by dividing the distance covered in 8 minutes by 8:
1.25 miles ÷ 8 = 0.15625 miles per minute
Finally, we can find out how far the runner goes in 16 minutes by multiplying the distance covered in 1 minute by 16:
0.15625 miles per minute x 16 minutes = 2.5 miles
Therefore, the runner can go 2 1/2 miles in 16 minutes at the same pace.