Mathematical running

So several weeks ago, I talked about my run right after my ankles were getting better. It was in our neighborhood and I remember being proud of running through 1 song and then walking through 1 song. Well...last night I ran the same route but was amazed at my progress since my last run in that direction. I have been running between now and then obviously, but it's mainly been on a treadmill. So I challenged myself to run through as many songs as possible and walk in less time than through one song. Am I making sense? Okay this may help...I started and ran through 3 songs and found myself about 3 times further away than I expected. I was at least a good mile away from our house and I had run the whole time...no walking! I know that is such a small thing but I was really proud of myself. See, if you average a song's time, they each last about 4 minutes. So through 3 songs and 1 mile later, I ran it in approximately 12 minutes. And, I didn't walk through a whole song and was able to get started running a lot quicker than I ever imagined I would. I truly felt like I am making progress in my journey! After failing at last weeks run, I was very discouraged and frustrated. But this is a very good example that I am getting better and stronger. We still have more than 1/2 of our training to do and I am feeling good about it. Chicago here I come!!! Oh and my overall miles?... 7. Thank you very much!