Final answer:
At a constant speed of 60 miles per hour, it would take 6 hours to travel 360 miles, which is a reasonable answer since the time required is halved when the distance is halved.
Step-by-step explanation:
The question involves calculating the time it would take to travel a certain distance given a constant speed which is a basic concept in mathematics, more specifically in the topic of rates and ratios.
If you travel 720 miles in 12 hours, you are traveling at a speed of 720 miles / 12 hours = 60 miles per hour. Now, to find out how long it would take to travel 360 miles at this constant speed, you divide the distance by the speed to get the time: 360 miles / 60 miles per hour = 6 hours. So, it would take 6 hours to travel 360 miles if you maintain the same speed.
When you check if the answer is reasonable, consider if the distance is halved, the time should also be halved if the speed remains constant. Since 360 miles is half of 720 miles, and 6 hours is half of 12 hours, the answer is indeed reasonable.