As I don't have four-wheelers, traveling a long distance with a bike can be troublesome, so I will choose public transport as public transport is often cheaper than private transport. Even if I have a car I would still worry about the car being broken down in the middle of somewhere where I can't get any help. Private transportation has some benefits too such as you travel in a much nicer vehicle, pick your preferred temperature, don't need to worry about your belongings or crazy strangers, and you get to control the environment.