There is no one definitive answer to this question. However, here are a few tips that may help you go faster in Mount and Blade Warband:
1. Use the gallop button instead of the walk button when travelling long distances. Galloping will make your character travel much faster than walking.
2. If you're on horseback, make sure to use the Ride command instead of the Follow command when riding with companions. The Ride command will make your horse go faster than if you were just following someone else's horse.
3. Upgrade your steed's speed attribute whenever possible. A higher-speed horse will obviously be able to travel faster than a lower-speed horse.
4. When engaging in battle, try to take advantage of terrain features that can give you a speed boost, such as downhills or slopes. Additionally, try to position yourself so that you can charge at your enemies while they are retreating or running away from you; this way, you'll close the distance between you and them much faster than if you were just chasing after them while they're moving in a straight line away from you