This is the walkthrough for the Quest Warrants Outstanding in L.A. Noire
Objective 1: Chase Suspect
Right as the case starts, you will be chasing after a suspect. Hold down the run button to continuously sprint.
Objective 2: Subdue Bowers
At the end of the chase, a short cutscene will play, then the fist fight with the suspect begins. This fight is very easy to win: all you have to do is mash the punch button and Bowers will fall.
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