I could offer a few suggestions…
One, go buy good gear. Gear that makes you comfortable regardless of weather so you never have an excuse not to ride.
Two, get a riding buddy or join a bike club. It makes it more fun, and if you are verbally committed to riding with someone, you are more apt to do it. Ideally, find a fellow cyclist with whom you can train for a specific century.
Three, ride in the afternoon, 3 days a week and one weekend day. Do shorter rides in the week, a longer one on the weekend. I don’t do mornings either. At the point you are now (10 mile rides) I’d say next week do this Mon Wed Fri, do no less than 13 miles at your fastest pace. Saturday, do 15 miles but go slower. Each week, repeat but when you can, increase by 5 miles on weekdays and weekends as your speed and endurance allow. Every week do a little more. Don’t tell yourself you can only do x miles. Set a specific goal and don’t settle for less, but always accept more if you can.
Four and this is my favorite motivator…Right now, this very second, go register for a century, and pay for it. Do one outside of your city where you have to book a hotel room. Pick a ridiculously nice hotel, pay for it now, and make sure its non refundable. Works like a charm. :)
You are starting training for a century as a brand new cyclist, I presume, same place I did. So, I’d suggest that you forget about how many minutes you are riding if your goal is to ride a century. Focus more on your mileage and forget about speed/time. Speed will increase somewhat naturally at least to a point, but the endurance required to stay on the saddle for 100 miles can only come from building base miles. A century, unless you are going for a record time, is more about endurance. How much can your bum take? How long can you stay on the bike? How long can your arms and legs take it? Go at a steady even pace and aim for your speed to be consistent. Find a pace that you can maintain for the entire ride.
Good luck!!