Bike traveling is quite common today. People from all over the world travel to cities close for so that they won't need to face traffic and waste money to pay for the possible fuel of a car. Although the time to get to one's destiny is bigger, it has its advantages and might be considered the best option for many people.
Picture taken from here.
I love bike riding and also traveling, so I think combining both of these in only one activity would be a great idea. Also, riding a bike is good for our health and one can enjoy much more the beautiful views that he/she might see throughout the trip.