From this guide, you will learn how to try to catch a bandit named Dutch in Red Dead Redemption, as well as save hostages in the bank. Head to Agent Ross in his usual location to start this mission.
The agents will tell you news about Van Der Linde — he is about to make a payment request to the local bank manager. Follow all the federal agents to the roof to have a better view of the bank's exit. Wait for the agent's signal before you start shooting. As soon as you see the bank door open and the person who did it kill a hostage, start the cleanup. After killing everyone in your line of sight, head to the bank with Agents Hopkins and Manning.
To open the bank's front door — shoot it. Kill the people who have taken innocent hostages and go up to the second floor. Dutch's men will also be waiting for you upstairs, kill them and enter the door to the right of the stairs. Inside is Dutch, holding a girl at gunpoint. Watch the cutscene and chase the escaped bandit on horseback. Halfway, at the campfire, you will notice Dutch's cart, which means he has moved into the forest. There you will not find the fugitive, only a gang of Indians covering him. Eliminate them, after which the mission will be considered complete, and you will receive a reward of +75 points to the Fame parameter and +62 points to the Honor parameter.