Hi Professor

I am just a lay person who has a questions about driving and physics. My boyfriend and I disagree about what would happen in the below scenario:

You are driving on a major highway in a Toyota Corolla, it's pouring rain, there is a transport truck in front of you (he is hauling a trailer), you are both doing 110 km/hr and you are about 1 1/2 car lengths behind him (somewhat tailgating). The truck driver slams on his brakes suddenly - given normal reaction time (or even super-human reaction time), would you be able to stop in time to not hit him?
I understand that transports have a greater braking distance, but once he's touched his brakes, at the rate you are going, and your reaction time, would you not hit him being so close? At what distance would you have to be in order to not hit him?
Would you even have time to swerve around and avoid him?

I do not think that you would be able to have enough time to react and avoid hitting the back of the truck, however he thinks you do.

Any help would be greatly appreciated!
Kind Regards