The answer to you question depends on your body size (bigger burns more calories), how hard you're working, how long it takes you.

I ride with a power meter on my bike, so I am able to measure work expended and can fairly reliably convert that to calories burned. Thirty five miles at an easy pace would be about 2.5 hours of riding which would burn around 1000 cal, or 3.7 cal/kg body weight.

Figuring it takes a 3500 cal deficit to lose one pound (which may not be exactly 100% correct), it would take 3-4 weeks to lose 1 pound from cycling. In theory.