The speed is 110km/hr, it is about 30m/s (=108km/hr).
The distance between cars is about 1 1/2 car lengths (assume to be 5m).

The best reaction time for person driving car is 0.6 s (up to 1s for ordinary person).
So the minimum distance required will be 0.6s* 30 m/s=18m (30m max.)

The reaction time is the time between you saw what happened, and the time you really react to it.
During that time interval, your car will move with the same velocity.
Yes. the car in front of you also moving at the same time, However, the car in front of you starts to slowing down while you are moving at the same speed.
Without consider the thermal effect and assume the brake work perfectly, the stopping distance for both car will be the same.
Due to the thermal effect, larger car will have longer stopping distance (ABS braking system can help to reduce the braking distance to theoretical value).
If you think the difference between the braking distances are more than 18-5=13m (25m max.)
You can try to risk you life. But I would not bet on it.

I would suggest:
Count one second and see what is the distance you car has move.
It is the same minimum distance you should keep between your car and the car in front of you.

Please try to visit [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=138.0]Reaction time and car accident[/url] to test it with a simulation.

If you think your reaction time is better than 1 second. You can reduce the distance a little bit. (I would not suggest you did that).
But if something happened, you can try to argue the physics with God if you meet with him. ;)