Kinda-sorta.
On a good road, a thin tire will have less air drag than a wide tire.
With less drag, a set amount of rider input will turn into more speed.
Depending on design, a thin tire may also have less rolling resistance than a wider tire, which also would help with speed.
A thin tire is also likely to be lighter than a wide tire. This won't help with top speed, but it will make for higher acceleration.
But if road conditions are poor, the thin tire might slide, skip, or even fail if it's ridden at speed. Under those circumstances, a wider tire might do better.
to make traveling faster than walking
Yes the new tires are faster and do not slip.
Because they thought that rolling along could be faster and more fun than walking
smaller cross-section of tread in contact with road
Yes. Because the speed is usually measured at the transmission, smaller tires make the speed show faster than is actually travelled.
actually bicycle tire or for that matter any kind of tire does lose air, the heat in the summer causes the air in the tires to expand. That's why is not a good idea to fill your tires to the max in the summer time.
If you are reffering to tires, the wheels spin faster than the car moves so the tires make a loud squeaking noise.
Turning on a bicycle is different than in a car. When you turn on a bicycle you lean the entire bike to the side. This causes the sides of the tires to contact the pavement. The tread on the sides of the tires is there for this exact reason. Without it, you would probably skid out when you try to turn.
Because they are used for steering and get more wear.
It's cheaper than a car or a motorbike, and faster than walking.
Only on a front wheel drive vehicle. On a rear wheel drive the rear tires wear faster. rotate your tires every 10,000 miles and they will wear evenly.
Motorcycles go faster so there is more danger involved.