Final answer:
Han runs at a pace of 12 minutes per mile, which is equivalent to 5 miles per hour. After running for a half hour (0.5 hours), Han covers a distance of 2.5 miles.
Step-by-step explanation:
The problem requires us to calculate the distance run by Han after a half hour of running. Han runs at a pace of 12 minutes per mile. To find out how far Han runs in 30 minutes, we perform the following calculation:
- First, convert the time Han runs to hours: 30 minutes = 0.5 hours.
- Calculate Han's speed in miles per hour: Speed = 60 minutes / 12 minutes per mile = 5 miles per hour.
- Multiply Han's speed by the time to find the distance: Distance = Speed × Time = 5 miles per hour × 0.5 hours = 2.5 miles.
Han runs 2.5 miles after a half hour.
Next, we can calculate the distance Han runs in a half hour by multiplying his speed (5 miles per hour) by the time (0.5 hours). So, Han runs a distance of 5 miles in a half hour.
Therefore, Han runs a distance of 5 miles after a half hour.