Explain your general approach to dealing with difficult people, whether they’re co-workers or customers. You might mention that you try to put personal feelings aside and ask questions to determine the crux of the issue. Explain that you believe that it’s important to handle issues immediately rather than letting them fester. Part of your strategy also might include asking how the co-worker would like to see the situation improved. Discuss the process you use to provide a solution that solves the problem in a way that’s acceptable to all parties.