If buses and cars participate in the same road traffic (i.e. the bus doesn't have dedicated lanes), then a bus trip will never be faster than a comparable car trip. This is because you have to walk to/from the bus stop at both ends of the journey, wait for a bus to show up, ride the bus and have it stop for other passengers, transfer between routes, the bus has slower acceleration and turning than a car, etc.
Think about even the most strawman trip possible: A bus rider and a car driver start exactly at the location of a bus stop, the bus shows up exactly at the start time, both contestants ride/drive straight for a few kilometres (which happens to follow exactly one bus route, without changing buses; but the bus might stop a few times along the way for other passengers), and end exactly at a bus stop. The car will win every single time.
https://en.wikipedia.org/wiki/Downs%E2%80%93Thomson_paradox , https://www.youtube.com/watch?v=RQY6WGOoYis
It's good to have dedicated bus lanes, but the point of a bus isn't to get from point A to point B faster than a car.
It's a part of a transit ecosystem that makes it possible to survive without a car. It fills in the the gaps where it's not economical to add train/metro lines.
Except that many buses broadcast their location, and many cities prioritize green lights for buses over cars.
So the car might need to stop on red multiple times (unless following a bus), while the bus will have most lights automatically turn green in front of it.
Yeah, the car will be faster, unless there are accommodations that benefit the bus only (like dedicated lanes). But the bus doesn’t have to be _faster_ to be viable to many people: there are other things going for the bus like not having to park, often being cheaper especially if it allows you to not own a car, etc. etc.
Caveat: the bus can be a little bit slower and still win, because you don't need to drive. Or the car can be a little bit slower and still win, because people are antisocial. When the difference is more than a little, then you're correct.