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 point)

Question

Responses

Answer 1

To solve the problem, we first determine how far the runner can go in one minute and then calculate the distance the runner can cover in 16 minutes.

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

   \[ \text{Distance for 8 minutes} = \frac{1}{4} \times 5 = 1.25 \text{ miles} \]

2. Distance covered in 1 minute: To find the pace per minute, we divide the distance covered in 8 minutes by 8.

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

3. Distance covered in 16 minutes: Now, we multiply the distance covered in one minute by 16 to find the total distance covered in 16 minutes.

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

Thus, at the same pace, the runner can go 2.5 miles in 16 minutes.

Answer 2

Wrong

Answer 3

Apologies for any errors. Let's go through the calculations step-by-step again to ensure accuracy.

1. Determine the distance for 1/4 of the race: The total distance of the race is 5 miles. \[ \frac{1}{4} \text{ of 5 miles} = \frac{5}{4} = 1.25 \text{ miles} \]

2. Determine the runner's pace: The runner takes 8 minutes to cover 1.25 miles. To find out how many miles the runner covers in one minute, we calculate: \[ \text{Pace} = \frac{1.25 \text{ miles}}{8 \text{ minutes}} = 0.15625 \text{ miles/minute} \]

3. Calculate total distance in 16 minutes: Now, we need to find out how far the runner can go in 16 minutes: \[ \text{Distance in 16 minutes} = 0.15625 \text{ miles/minute} \times 16 \text{ minutes} = 2.5 \text{ miles} \]

There seems to be a misunderstanding, and all calculations affirm that the distance the runner can complete in 16 minutes is indeed 2.5 miles. If there is a miscommunication or a different aspect of the question you would like to clarify, please let me know!