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 find out how far the runner can go in 16 minutes, we need to find the rate at which the runner is completing the race and then multiply it by the time duration.
The runner completes 14 miles every 8 minutes. To find out how many miles the runner completes in 1 minute, we can divide the miles completed in 8 minutes by 8. 14 miles/8 minutes = 1.75 miles/minute.
Now, we can multiply the rate at which the runner completes the race (1.75 miles/minute) by the time duration (16 minutes). 1.75 miles/minute * 16 minutes = 28 miles.
Therefore, the runner can go 28 miles in 16 minutes.
To solve this problem, we can use the runner's pace of completing 1/4 of a mile every 8 minutes.
First, we need to find out how many segments of 8 minutes are in 16 minutes. Since 16 divided by 8 is equal to 2, the runner can complete two segments in 16 minutes.
Next, we need to figure out how many segments of 1/4 of a mile the runner completes in 2 segments of 8 minutes. Since the runner completes 1/4 of a mile in 8 minutes, by completing 2 segments in 16 minutes, the runner will cover 2 x 1/4 = 1/2 of a mile in 16 minutes.
Therefore, the runner can go 1/2 of a mile in 16 minutes at the same pace.
To find out how far the runner can go in 16 minutes, we can set up a proportion using the information given.
Let's denote the distance the runner can go in 16 minutes as "D" (in miles).
The proportion can be set up as:
14 miles / 5 miles = 16 minutes / x minutes
To solve for "D," we can cross-multiply:
14 * x minutes = 5 * 16 minutes
Simplifying the equation, we get:
14x = 80
Now, we can solve for "x" by dividing both sides of the equation by 14:
x = 80 / 14
x ≈ 5.71
Therefore, the runner can go approximately 5.71 miles in 16 minutes at the same pace.