As the Jetsons live in the future (2062AD, to be exact), I would have thought their car could make this calculation for itself, and not bother the humans with it! Maybe George felt like exercising his maths skills for a change.
If he did, George would know this calculation requires multiplication and division.
We know their journey will last
7 hours at which they will travel at a steady rate of
55mph. This assumes no stops, and that they have left Rosie the Robot at home, as she is made of metal and he weight would impair the car's fuel efficiency. So, we can work out the distance they will travel:
7 hours x 55 mph = 385 miles in distance traveled.
This doesn't seem a long way, considering Elroy's scout troop thought nothing of taking a trip to the Moon, but maybe mean old Mr Spacely would let George take much time off for the vacation.
The car travels 30 miles on a gallon of gas, which must be synthetic, as I don't think real gas is going last until 2062 before it runs out. So, to find out how many gallons of gas will be needed for a journey of 385 miles, we perform the sum:
385 miles divided by 30 mpg = 12.833 gallons of gas required, and hopefully no need for Henry Orbit.
For other similar questions, read A Car Traveled 200 Mi. On 12 1/2 Gal. Of Gas. How Many Miles Per Gallon Did It Get? or A Train Is Going 60 Miles Per Hour. How Many Hours Will It Take The Train To Travel 600 Miles To One City And Then 120 Miles Further To Another City?
If you'd prefer to look at how the future looked in the past, watch these clips of The Jetsons from its original run in 1962: