Stephen rides his bicycle to church.  During the first third of his trip, he travels at a speed of 16 miles per hour. During the second third of his trip, riding uphill, he travels a speed of 12 miles per hour.  During the last third of his trip, he rides downhill at a speed of 20 miles per hour.  If each third of his trip takes 15 minutes, what is the distance Stephen rides his bicycle to church, in miles?
How many minutes are in each third of Stephen's trip? ** 15 minutes is 15/60=<<15/60=0.25>>0.25 hours.
How many miles does Stephen travel in the first third of his trip? ** Traveling 15 minutes at 16 miles per hour, Stephen travels 16*0.25 = 4 miles.
How many miles does Stephen travel in the second third of his trip? ** Traveling 15 minutes at 12 miles per hour, Stephen travels 12*0.25 = 3 miles.
How many miles does Stephen travel in the last third of his trip? ** Traveling 15 minutes at 20 miles per hour, Stephen travels 20*0.25 = 5 miles.
How many miles does Stephen travel in total? ** All together, Stephen travels 4+3+5=<<4+3+5=12>>12 miles.
#### 12