I used to commute one way 27 miles. I cut back from three times a week to twice. I also did a 70 mile or so ride one day on the weekend with 30 the other. That gave me 200 miles on four days a week. I skipped lifting completely until the winter. I couldn't imagine trying to get faster and lift seriously at the same time.

I also do tris and lift with that but it's relatively light.