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?
2 1/2 miles
1/10 miles
160 miles
1/8 mile
The runner completes 1/4 of a 5-mile race every 8 minutes. Therefore, the runner completes 1/4 * 5 = 5/4 miles every 8 minutes.
To find out how many miles the runner can go in 16 minutes, we divide the time by 8 minutes: 16 / 8 = 2.
Then we multiply the miles completed in 8 minutes by 2: 5/4 * 2 = 10/4 = 2 1/2 miles.
Therefore, the runner can go 2 1/2 miles in 16 minutes.
To solve this problem, let's first find out how far the runner can go in 1 minute.
Since the runner completes 1/4 of a 5-mile race every 8 minutes, the runner covers (1/4) x 5 miles in 8 minutes.
Now let's calculate the distance the runner covers in 1 minute.
To find the distance in 1 minute, we divide the distance covered in 8 minutes by 8:
(1/4) x 5 miles ÷ 8 minutes = 5/32 miles.
Therefore, the runner covers 5/32 miles in 1 minute.
Now we can calculate how far the runner can go in 16 minutes.
To find the distance in 16 minutes, we multiply the distance covered in 1 minute by 16:
(5/32 miles) x 16 minutes = 80/32 miles = 2 1/2 miles.
So, the runner can go 2 1/2 miles in 16 minutes.
Thus, the correct answer is 2 1/2 miles.
To solve this problem, we need to determine how far the runner can go in 16 minutes, given that they complete 1/4 of a 5-mile race every 8 minutes.
Step 1: Calculate the distance covered in 8 minutes
The runner completes 1/4 of a 5-mile race every 8 minutes. To find how far the runner can go in 8 minutes, we calculate 1/4 * 5 miles, which equals 5/4 miles or 1.25 miles.
Step 2: Determine how far the runner can go in 16 minutes
Since the runner can cover 1.25 miles in 8 minutes, we can simply double the distance to find how far they can go in 16 minutes. 2 * 1.25 miles equals 2.5 miles.
Therefore, the runner can go 2.5 miles in 16 minutes. Thus, the answer is 2 1/2 miles.