Aye, cool problem, fam. So, let's call the distance between home and college "d" and break it down using the vibes of physics, okay?
The average speed equals the distance over time, right? We can break this down into two equations:
1. When driving from college to home, Miracle is rollin' at 71.1 mph, so the time is d/71.1.
2. Heading back from home to college, Miracle's cruisin' at a chill 60.9 mph, making the time d/60.9.
The total time for the round trip is 11 hours. So, we can form the equation:
d/71.1 + d/60.9 = 11
Let's solve this for d. I'm grabbing my calculator and getting d to be approximately 341.6 miles.
But, you're interested in the time it took for Miracle to drive back to college, right? Let's put that distance into the speed equation:
341.6 miles/60.9 mph ≈ 5.6 hours.
5.6 hours is a mix of whole hours and part of an hour. The .6 of an hour is 60 minutes * 0.6 = 36 minutes.
So, it took Miracle about 5 hours and 36 minutes to drive back to college. There you go, solved it like a pro!