Back in the real World – it's not an "official" commute (work from home) but I ride a route 3 times a week – very hilly (four hills are over 20% and more than 150 metres long), some off road, some rural, a very small bit of urban, no traffic lights.
Set my record this morning – 12.5 miles, 55m07s averaging 13.5mph
My "standard" road bike route is again very hilly and 24 miles – usually average around 16mph.
Lots of variables though – sometimes have to stop for something (often a tractor turning), sometimes ran the night before (really slows me down), etc.
Enjoy it though and it helps keep a decentish base fitness level.
On my "full on" MTB ride (very steep and technical hills and drops most of the way) I average well under 10mph.
Some of your commutes (35 miles + EACH WAY?!!) and times (ahem) are crazy!