A carriage alone, or a train, is a positive sign which indicates success in many affairs; but only if you will make enough effort. If the carriage is rocking from side to side, you will face some obstacles, perhaps because of other people. Nevertheless, you will overcome your problems anyway. To spend a lot of time in a carriage signifies that you will go through a lot of changes, which will soon result in improvements of your finances.
To see a fellow traveler of the opposite sex promises new nice acquaintance, who may bring some changes to your personal life.