Answer: the average speed coming home is 63.3 mph
Step-by-step explanation:
Let x represent your average speed while you were going home.
Distance = speed × time
It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. This means that the distance travelled on your way to your friend's house is
3 × 58 = 174 miles
If it took me 15 minutes less to get back home, it means that the time you spent in going back home is 3 - 0.25 = 2.75hours
Distance covered while going back home is
2.75 × x = 2.75x
Assuming the distance is the same, it means that
2.75x = 174
x = 174/2.75
x = 63.3 mph