He has a 14-hour trip and wants to stop every 2 hours so that's 14/2 = <<14/2=7>>7 pit stops
He will make 7 pit stops plus 2 more for food and 3 more for gas for a total of 7+2+3 = <<7+2+3=12>>12 pit stops
Each pit stop will take 20 minutes and he is making 12 stops so that's 20*12 = <<20*12=240>>240 minutes
60 minutes are in an hour and he's adding 240 minutes to his trip so that's 240/60 = <<240/60=4>>4 more hours
His trip started as 14 hours and he will add an additional 4 hours in pit stops for a total of a 14+4 = <<14+4=18>>18 hour long trip
#### 18