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

Question

go in 16 minutes? (1 point)
O 1/8 mile
O 160 miles
O2 miles
O 1/10 mile

Answer 1

To solve the problem, we can first determine the pace of the runner.

1. The runner completes \( \frac{1}{4} \) of a 5-mile race in 8 minutes.

   The total distance of the race is 5 miles. Therefore, \( \frac{1}{4} \) of the race is:

   \[ \frac{1}{4} \times 5 \text{ miles} = 1.25 \text{ miles} \]

   So, the runner covers 1.25 miles in 8 minutes.

2. Now we need to find the pace in miles per minute.

   The pace can be calculated as:

   \[ \text{Pace} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \]

3. Next, we want to find out how far the runner can go in 16 minutes at the same pace.

   We can find the distance covered in 16 minutes using the formula:

   \[ \text{Distance} = \text{Pace} \times \text{Time} \]

   Plugging in the values:

   \[ \text{Distance} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]

4. Upon looking closely at the provided options:

   • 1/8 mile
   • 160 miles
   • 2 miles
   • 1/10 mile

   The closest realistic answer to our result (2.5 miles) does not directly match. However, since the question is likely looking for a choice, the most appropriate rounded figure here would be:

   2 miles (because the approximation doesn't flow into any other options).

Final Answer: The best option from the choices given is 2 miles.

Answer 2

1/8 mile
160 miles
2 miles
or 1/10 mile

Answer 3

Given the answer options and the calculations we did:

1. The runner completes \( \frac{1}{4} \) of a 5-mile race in 8 minutes, which is 1.25 miles.
2. The pace is \( \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles per minute} \).
3. In 16 minutes, the distance covered is: \[ \text{Distance} = 0.15625 \text{ miles per minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]

Now looking at the final options:

• \( \frac{1}{8} \) mile
• 160 miles
• 2 miles
• \( \frac{1}{10} \) mile

The distance of 2.5 miles is not exactly listed, but the closest choice is:

2 miles

So, the correct answer from the provided options is 2 miles.

Answer 4

2 1/2?

Answer 5

I understand your concern. When I calculated the distance the runner could cover in 16 minutes, it is indeed 2.5 miles, which is equivalent to \( 2 \frac{1}{2} \) miles.

Given your options:

• \( \frac{1}{8} \) mile
• 160 miles
• 2 miles
• \( \frac{1}{10} \) mile

The closest option to \( 2 \frac{1}{2} \) miles is actually 2 miles, but it's technically not the correct representation of the exact answer.

If the choice was intended to express a distance of \( 2.5 \) miles, none of the provided options accurately reflect that. However, since 2 miles is the closest available option to \( 2.5 \) miles, that would still be the best answer given.

To summarize: The runner can cover \( 2 \frac{1}{2} \) miles in 16 minutes, but since \( 2 \frac{1}{2} \) miles isn't an option, 2 miles is the most appropriate choice from the list.