Strangely enough, even in cities such as mine, which aren't so packed, cycling is
still faster. Busses are faster than cars because they don't need to park, but still take 30-35 minutes. I can cycle in in 20 minutes. Note there is no train in my direction.
I think this is partially because bicycles are not that popular here, but there are provisions for bikes that go above and beyond cars. Having seen Bruges in Belgium, The bike queue can be comparable to a car queue (narrower, but none the less). I imagine other cycling heavy countries are similar.