A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes? word form step by step

Answer 1

To find out how far the runner can go in 16 minutes, we can follow these steps:

1. Determine the runner's pace per minute:

   • The runner completes 14 of a 5-mile race every 8 minutes.
   • First, we need to find the total distance covered in that time. Since the entire race is 5 miles, completing 14 of these races means the distance covered is: \[ 14 \text{ races} \times 5 \text{ miles/race} = 70 \text{ miles} \]
   • Next, we calculate the pace per minute: \[ \text{Pace} = \frac{\text{Total distance}}{\text{Total time}} = \frac{70 \text{ miles}}{8 \text{ minutes}} = 8.75 \text{ miles/minute} \]

2. Calculate the distance covered in 16 minutes:

   • Now that we know the runner's pace is 8.75 miles per minute, we can find out how far the runner can go in 16 minutes by multiplying the pace by the time: \[ \text{Distance in 16 minutes} = \text{Pace} \times \text{Time} = 8.75 \text{ miles/minute} \times 16 \text{ minutes} \]

3. Perform the multiplication:

   • Now, performing the multiplication: \[ 8.75 \times 16 = 140 \text{ miles} \]

4. Conclusion:

   • Therefore, at the same pace, the runner can cover 140 miles in 16 minutes.

So, the final answer is that the runner can go 140 miles in 16 minutes.