The method of conflict resolution that the situation reflects is compromise. In compromise, both parties give up something in order to reach a mutually agreeable solution. In this case, Claire and Evelyn both gave up their preferred timing in order to arrive at a compromise of 8:30 am. The manager also played a role in the compromise by offering to pick both of them up from convenient spots.
The other options are not correct. Competing is a conflict resolution method in which one party tries to get their way at the expense of the other party. Avoidance is a conflict resolution method in which one party tries to avoid dealing with the conflict altogether. Collaboration is a conflict resolution method in which both parties work together to find a solution that meets the needs of both parties. Smoothing over the problem is a conflict resolution method in which one party tries to make the other party feel better about the conflict, even if the problem is not actually resolved.