The "fuel" for these things is the differential pressure (which keeps going down as you drive) between the compressed air and ambient air. Common sense dictates that it would take a mighty large initial pressure in the car's tanks to make the car able to go more than a mile or two.
I can tell you right now that the little boxes at gas stations that take quarters in return for a few cubic feet air at pressures less than 60 PSI aren't up to the task of completely "refueling" one of these cars. That means that the air powered car suffers from more or less the same problem that all-electric cars do, except maybe worse. It's one thing to have your electric car on the charger all night. Just try running a big, noisy air compressor all night and see how far you get before the cops come knocking on your door.