Vehicle conflicts in mixed traffic present critical safety challenges, especially with the emergence of automated vehicles. Such conflicts often occur when two vehicles attempt to occupy the same space simultaneously, as seen in narrow passages that allow only one vehicle to pass at a time. While the first arriving vehicle typically claims the right of way in human traffic, it is uncertain if this norm extends to interactions with automated vehicles, given that road users expect different behaviors and driving styles from them. This study employs an experimental paradigm to examine human drivers’ decision-making processes when encountering both automated and manually-driven vehicles with varying arrival times (4s, 6s, and 8s) and speeds (25 km/h and 50 km/h). Conducted in a controlled laboratory setting, participants were asked to make 240 “drive” or “wait” decisions (20 repetitions per condition) by pressing a corresponding key while observing a video of a vehicle approaching a narrow passage. The study analyzes the effects of these factors on reaction times and provides directions for computational modeling approaches of drivers’ decision-making processes when interacting with automated vehicles, for instance, with drift-diffusion modelling.