It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. If it took me 15 minutes less to get back home, what was my average speed coming home?

The average speed coming home was 63.27 miles per hour

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed from home to Maine = 58 miles per hour

Time of the first leg of the trip = 3 hours or 180 minutes

Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes

2. What was my average speed coming home?

Let's calculate the distance from home to Maine, this way:

Speed = Distance/Time

Distance = Speed * Time

Distance = 58 * 3 = 174 miles

Now, let's calculate the speed of the second leg, as follows:

Speed = Distance/Time

2 hours 45 minutes = 2.75

Speed = 174/2.75

Speed = 63.27 miles per hour