Time Zone Bug on iPhone 5C

I recently purchased an iPhone 5C, and everything was fine. However, a few days ago, I noticed that there was something wrong with the time. I actually thought I was late because, according to my phone, it was 4:37 when it should have been 3:37. Apparently, it had automatically switched to the Eastern time zone, when where I am is in central. Someone I know had the same problem with their 5C, and they just turned off the setting to change the time zone automatically. If the setting is turned on again, it goes back to the other time zone. I tried this, and it worked. Has anyone experienced this weird bug on an iPhone 5S? I'm just curious. Have a nice day, Kira