Two vehicles, one from city $A$ and one from city $B$, start moving towards each other at constant speeds on the road between these two cities and meet after some time. The vehicle starting from city $A$ reaches city $B$ 250 minutes after their meeting, and the vehicle starting from city $B$ reaches city $A$ 160 minutes after their meeting.
Accordingly, how many minutes after starting did these vehicles meet?\\
A) 170\\
B) 180\\
C) 190\\
D) 200\\
E) 210