Typically, you’ll just get a speeding ticket if you are within 10 to 15 mph of the speed limit when you are pulled over. If you are going 35 mph over or more, however, it’s likely that you’ll be facing another charge.
If you are charged with reckless or careless driving, I recommend finding a lawyer to help you fight the charge. Reckless and careless driving both come with serious consequences in the state of New Mexico, including potential jail time, heavy fines, and a mark on your criminal record.