iPhone 5 Battery Replaced, Still Draining

My iPhone 5 is 6 months old. Over the weekend, it would intermittently charge. When it would charge, it would take about an hour per 1%. Then when I took it off the charged, it would drain in about 15 minutes. Finally, it got to the point it wouldn't charge at all... or turn on. So I took it to the Apple Store yesterday and they put a new battery in it. It is definitely charging faster but in about 2 hours, I have gone from 100% to 32% without any use. I live about 45 minutes from the closest Apple Store, so does anyone have any suggestions before I drive back? THANKS!