Pretty much what I did last year, though I fell and hurt my ankle so couldn't carry on. I ran once a week for distance, added a mile once I could do the previous distance in a 10 min mile or less and I was up to 10 miles before I got hurt. Worked well for me, I imagine it would work as well if you had a faster target, I'm not a natural runner though, so 10 min miles is a reasonable pace for me.
You know all those pictures of Adam and Eve where they have belly button? Think about it..................... take as long as you need........................