Get me to the church on time

My Fair Lady is a musical based upon George Bernard Shaw's Pygmalion, with book and lyrics by Alan Jay Lerner and music by Frederick Loewe. The story concerns Eliza Doolittle, a Cockney flower girl who takes speech lessons from professor Henry Higgins, a phoneticist, so she can pass as a proper lady. Of course, there have been several productions, but my favorite rendition starred the incomparable Julie Andrews. Well, for a bunch of guys, getting to the church on time is just as important on weekdays, as it is on Sunday morning.

Typically, my friends and I meet 6 days a week, and on Tuesdays and Thursdays, our ritual has us running. A number of years ago, before our group expanded, we'd arrange to meet at each other's house. That worked just fine until we couldn't remember where we had planned to meet, and that really caused chaos. As a remedy, one of our compulsive comrades determined that one of the local churches was the geographic center between our respective homes, and it has been our meeting place ever since.

Now that we centralized our gathering spot, the issue is not where we are meeting or even at what time, we start at 6am, but can you get there on time? We do have a "grace" period, much like you'd have given your professors back in the day, but if you aren't there soon thereafter, you generally pay for your sins by running alone.
It is remarkable, but for more than 10 years, we have probably been the most consistent group of church goers in our community, and trust me, that's no lie!