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 mile
160 miles
nuh uhh
1. 2/3
2. -8
3. 2 1/2
4. -480
5. 1/3 x 150 divided by 4
I did the assignment trust me if we have the same one
To find out how far the runner can go in 16 minutes at the same pace, we can set up a proportion. Since the runner completes 1/4 of a 5-mile race every 8 minutes, we can write:
(1/4 mile) / 8 minutes = x miles / 16 minutes
To solve for x, we can cross multiply:
8 minutes * x miles = (1/4 mile) * 16 minutes.
Simplifying the equation:
8x = 4 miles
Dividing both sides of the equation by 8:
x = 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
The correct answer is 1/2 mile.
Peanut thanks ur the best dude
To solve this problem, we need to find out how many intervals of 8 minutes are there in 16 minutes, and then multiply that number by the distance covered in each interval.
Given that the runner completes 1/4 of a 5-mile race every 8 minutes, we can divide 16 minutes by 8 minutes to find out how many intervals there are:
16 minutes ÷ 8 minutes = 2 intervals
So, there are 2 intervals of 8 minutes in 16 minutes.
Next, we need to determine how far the runner can go in each interval. Since the runner completes 1/4 of a 5-mile race in every 8 minutes, we can calculate the distance covered in each interval:
1/4 of 5 miles = 5 miles × 1/4 = 5/4 miles
Therefore, the runner can cover 5/4 miles in each 8-minute interval.
Finally, to find out how far the runner can go in 16 minutes, we'll multiply the distance covered in one interval (5/4 miles) by the number of intervals (2):
5/4 miles × 2 intervals = 10/4 miles
Simplifying, we can convert 10/4 miles into mixed numbers:
10 divided by 4 is 2 with a remainder of 2. So, we have 2 and 2/4 miles.
We can further simplify 2/4 by reducing it:
2/4 simplifies to 1/2.
Therefore, the runner can go 2 1/2 miles in 16 minutes.
So, 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, assuming they maintain the same pace.
Given that the runner completes 1/4 of a 5-mile race every 8 minutes, we can start by finding out how much distance they cover in 1 minute.
To do this, we can divide the distance covered in 8 minutes (1/4 mile) by 8.
1/4 mile ÷ 8 = 1/32 mile per minute
Now, we can multiply the distance covered in 1 minute (1/32 mile) by the number of minutes we are interested in (16 minutes) to find the answer.
1/32 mile × 16 = 1/2 mile
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
The correct answer is 1/2 mile.