> I bet no one in major European cities requires to bike like ten miles each way.
15km is on the outer edge of normal (my bike commute was 11km). But yeah, we can build more densely because we don't require massive amounts of car storage everywhere in the city. The best time to start densifying was 20 years ago, but the second-best time is now.
> my city reduced one lane on several major roads and created bike paths. Sadly, we now have major traffic jams and hardly any utilization of the bike path.
Try counting how many humans use the traffic lane and the bike path per hour. You might be surprised.