Barry and his friend, Jim, went horseback riding across central Texas. They traveled at 5 miles per hour for 7 hours, and then stopped for the evening.  The next day, they traveled at 6 miles per hour for 6 hours, and then at half that speed for another three hours, before stopping to rest for the night.  On the third and final day, they traveled for 5 hours at 7 miles per hour.  In total, how far did they travel, in miles, during their horseback riding trip?
Barry and his friend, Jim, went horseback riding across central Texas. They traveled at [RATE] miles per hour for [NUMBER] hours, and then stopped for the evening. The next day, they traveled at [RATE] miles per hour for [NUMBER] hours, and then at half that speed for another [NUMBER] hours, before stopping to rest for the night. On the third and final day, they traveled for [NUMBER] hours at [RATE] miles per hour. In total, how far did they travel, in miles, during their horseback riding trip?
On the first day, they traveled 5*7=<<5*7=35>>35 miles.
On the first part of the second day, they traveled 6*6=<<6*6=36>>36 miles.
The second part of the second day, at half their morning speed, they traveled (6/2)*3=<<6/2*3=9>>9 miles.
On the final day, they traveled 5*7=<<5*7=35>>35 miles.
In total, they traveled 35+36+9+35=<<35+36+9+35=115>>115 miles.
#### 115