Jeremy is driving 600 miles, at an average speed of 50 miles per hour, so he will be driving for 600 miles / 50 miles per hour = 12 hours * 60 minutes per hour = 720 minutes.
He makes a rest stop every 2 hours of driving, at 2, 4, 6, 8 & 10 hours in = 5 rest stops on the trips.
Each rest stop takes 15 minutes so he will spend 5 rest stops * 15 minutes per rest stop = <<5*15=75>>75 minutes on rest stops.
His car gets 18 miles to the gallon, and he stops to refill every 15 gallons, so he will stop to refill every 18 miles per gallon * 15 gallons = <<18*15=270>>270 miles.
600 miles / 270 miles per refuel = 2.22 refuels, so he'll only make 2 refuels during the trip.
He will spend 2 refuels * 10 minute per refuel = <<2*10=20>>20 minutes refueling his car.
In total he will take 720 minutes driving + 75 minutes resting + 20 minutes refueling = <<720+75+20=815>>815 minutes.
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