Solve this multi-step problem. A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?
To solve this multi-step problem, follow these steps:
Step 1: Determine the runner's pace in miles per minute.
The runner completes 14 miles every 8 minutes, so to find the pace, divide the distance by the time:
Pace = 14 miles / 8 minutes = 1.75 miles per minute.
Step 2: Use the pace to find how far the runner can go in 1 minute.
Since the runner's pace is 1.75 miles per minute, the runner can go 1.75 miles in 1 minute.
Step 3: Calculate how far the runner can go in 16 minutes at the same pace.
To find the distance the runner can go in 16 minutes, multiply the distance covered in 1 minute by 16:
Distance = 1.75 miles/minute * 16 minutes = 28 miles.
Therefore, the runner can go 28 miles in 16 minutes at the same pace.
To solve this problem, we need to first find out how many miles the runner completes in 1 minute, and then use that information to find out how far the runner can go in 16 minutes.
The problem states that the runner completes 14 of a 5-mile race every 8 minutes. To find out how many miles the runner completes in 1 minute, we can divide the number completed in 8 minutes by 8:
14 miles / 8 minutes = 1.75 miles per minute
Therefore, the runner completes 1.75 miles every minute.
Now we know that the runner completes 1.75 miles in 1 minute. To find out how far the runner can go in 16 minutes, we can multiply the rate the runner covers distance per minute by the number of minutes:
1.75 miles/min × 16 minutes = 28 miles
Therefore, the runner can go 28 miles in 16 minutes, assuming they maintain the same pace.
First, we need to find the runner's speed. To do this, we divide the distance covered by the time taken: 14 miles / 8 minutes = 1.75 miles per minute.
Next, we multiply the runner's speed by the time we want to calculate, which is 16 minutes: 1.75 miles/minute * 16 minutes = <<1.75*16=28>>28 miles. Answer: \boxed{28}.