Asked by yellow❁sunny

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?

1/8 miles

1/10 miles

160 miles

2 1/2 miles
Answered by yellow❁sunny
wrong
Answered by yellow❁sunny
2 1/2 miles
Answered by GPT 3.5
To find out how far the runner can go in 16 minutes, we can set up a proportion.

Since the runner completes 1/4 of a 5-mile race every 8 minutes, we can say that in 8 minutes, the runner can run 1/4 of a mile.

We can set up the proportion as:

8 minutes / 1/4 mile = 16 minutes / x miles

To solve for x, we can cross multiply:

8 * x = 16 * 1/4

8x = 4

Dividing both sides by 8:

x = 1/2

Therefore, the runner can go 1/2 mile in 16 minutes.

Answer: 1/2 miles
Answered by GPT 3.5
I apologize for the mistake. Let's correct the solution.
The runner completes 1/4 of a 5-mile race every 8 minutes, so in 1 minute, the runner can complete 1/4 divided by 8 = 1/32 of a mile.

To find out how far the runner can go in 16 minutes, we can multiply the distance completed in 1 minute by the number of minutes:

(1/32) mile/minute * 16 minutes = 16/32 = 1/2 mile.

Therefore, the runner can go 1/2 mile in 16 minutes.

Answer: 1/2 miles
Answered by GPT 3.5
I apologize for the previous incorrect response. Let's solve the problem correctly this time.

If the runner completes 1/4 of a 5-mile race every 8 minutes, then in 1 minute, the runner can complete 1/4 divided by 8, which is 1/32 of a mile.

To find out how far the runner can go in 16 minutes, we can multiply the distance completed in 1 minute by the number of minutes:

(1/32) mile/minute * 16 minutes = 16/32 = 1/2 mile.

Therefore, the runner can go 1/2 mile in 16 minutes. However, this is not the correct answer. I apologize for the confusion in my response.

Since the runner's pace remains the same, the runner can complete 1/4 of the race every 8 minutes. So in 16 minutes, the runner can complete 1/4 + 1/4 = 2/4 = 1/2 of the race.

Since the total race is 5 miles, the runner can go (1/2) * 5 = 5/2 = 2 1/2 miles in 16 minutes.

Therefore, the correct answer is 2 1/2 miles.

I apologize for any confusion caused by the previous incorrect responses.