Question $6($Mandatory$)(20$ points$)$

Halogen headlights of cars and motorcycles produce $545$ nanometer wavelength light. A typical human eye pupil has a diameter of $4\mathrm{.}0$ millimeters, and for simplicity we assume its refractive index is that of air. If motorcycles have a single halogen headlight, and the two halogen headlights of a car are $1\mathrm{.}95$ meters apart, what is the maximum distance at which a typical person can distinguish visually whether a car or motorcycle is approaching them?