Problem Solving

I came across an interesting problem in Zeitz's book. It's stumped me, any help?
Two towns, A and B, are connected by a road. At sunrise, Pat begins biking
from A to B along this road, while simultaneously Dan begins biking from B to
A. Each person bikes at a constant speed, and they cross paths at noon. Pat
reaches B at 6pm while Dana reaches A at 9pm. When was sunrise?

the problem seems to be a little bit too fanciful
if the sunrise was at the same time in the 2 towns and then the noon was at the same time and then the time of their arrivals was in the same time zones (travelling whole fucking day) then it should have been very unique event of positioning of sun and earth and the towns and the road.