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? dont say 1/2

Answer 1

To determine how far the runner can go in 16 minutes, we first need to find the runner's pace based on the information provided.

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

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

   So, in 8 minutes, the runner covers 1.25 miles.

2. Now, we can calculate the pace in miles per minute:

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

3. To find out how far the runner can go in 16 minutes, we multiply the pace by the time:

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

   \[ \text{Distance} = 2.5 \text{ miles} \]

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

Answer 2

no its either 1/8 or 1/10 or 2 1/2 or 160

Answer 3

Apologies for the confusion. Let's review the calculation again to determine if the answer aligns with your options.

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

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

   In 8 minutes, the runner completes 1.25 miles.

2. To find out how far the runner can go in 16 minutes, we can scale up the distance:

   • Since 16 minutes is twice as long as 8 minutes, the runner can complete twice the distance:

   \[ 1.25 \text{ miles} \times 2 = 2.5 \text{ miles} \]

Since you mentioned the options, and since \(2.5\) can also be expressed as a mixed number, it corresponds to the fraction \(2 \frac{1}{2}\).

So among your options, the correct answer is \(2 \frac{1}{2}\). Thank you for the clarification!