Congratulations! Starting training now should give you a good chance of finishing your race feeling great!
I've done a lot of half-marathons, and most of them I followed a pretty similar training schedule (20 weeks long). It's worked well for me (no injuries). If you'd like to check it out, I've posted it on my blog (see article "Your First Half Marathon - a Detailed 20-week Training Plan").
Oh, I strongly recommend doing a regular yoga practice during your training - distance running can easily lead to tight knees, hips, and lower-back (again, from experience).
Build your foundation. I made the mistake of going from a 5K to 10k with very few long runs in my training, thinking, "No big deal. Only three additional miles." FAIL
The same holds true with moving from 10K to a half-marathon. Just this morning during our group run, we were talking about miles 7 - 9, and how rough they become. Have got to build your mileage base slowly but steadily... now! Which half are you doing?
We'll be flying up to Chicago to run the Half Sept 12th. Happy running! Feel free to stop by the Turtles blog if you're interested in an online running community ~ bloggers and runners of all ages and experience levels.
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