1. Make sure that the tank you bought is specifically for use with RO water. Many/most tanks are not.
2. Assuming that your process requires use of a pressurized storage tank, realize that a full tank will typically hold about 50% of the stated capacity. So for instance, a 40 gallon tank will hold about 20 gallons of water. The remainder is the air bladder.
3. Check your incoming water pressure. Do you have enough to run the RO system (regardless of the presence of the pressure tank). What does the pressure gauge on your RO system tell you when the system is running. You mentioned you bought a "cheap" system, so it may not even have a pressure gauge on it. If that is the case, add one: https://www.buckeyehydro.com/pressure-gauges-1/
4. Assuming you have enough feedwater pressure to run the system, add a permeate pump https://www.buckeyehydro.com/aquatec-permeate-pump/ and high pressure auto shut off valve https://www.buckeyehydro.com/automatic-shut-off-valves/ and turn your tank right side up.
If the fill time is still too long for you, you can put up to a 200 gpd membrane in your system. There are some details to attend to if you do this, so feel free to give us a call and we can walk through the details.
Russ