The short answer is not very long. The a/c draws very heavy on the batteries. Ours was about 130 amps draw on the batteries. Your inverter must also be robust enough to support that load. We switched to a dc roof a/c that is much better. Only draws about 50a. Still a significant load, however. Ours is not an EcoTrek, but we are running a Lifep04 battery bank with 600 ah capacity. We can run for a few hours without having to recharge.