This remind me something funny: an ambulance arriving few cars behind me.
Most of the people try to go on the side, to let the ambulance pass (but it was not easy for it since the other cars are still a little in its way), instead of clear the way.
I continued to drive normally as the ambulance was not so close, respecting speed limits... and I lost* the ambulance which was going slower than me in roundabouts

(*)not sure of the word, i.e. when you go faster than your opponent in a chase