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Answer :
Final answer:
Zeke will take 108 minutes to run 12 miles, and his running speed, or unit rate, is approximately 6.67 miles per hour.
Explanation:
To calculate how long it will take Zeke to run 12 miles at the same pace, we first need to determine Zeke's running speed in miles per minute. Zeke ran 5 miles in 45 minutes, which means his speed is 5 miles / 45 minutes = 0.1111 miles per minute. To find out how long it takes to run 12 miles, we divide the distance by his speed: 12 miles / 0.1111 miles per minute = 108 minutes.
Next, we'll convert Zeke's speed to a unit rate in miles per hour. Since there are 60 minutes in an hour, we multiply his miles per minute speed by 60: 0.1111 miles per minute × 60 minutes per hour = 6.6666 miles per hour. So, Zeke's unit rate is approximately 6.67 miles per hour.
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