Car: 2 hour 32 minutes driving door to door + 37 minutes of death = 3 hour 9 minutes
Train: 2 hour 37 minutes on train + 1 minute of death + 30 minute early arrive buffer + 30 minutes public transport to departure + 30 minutes public transport to destination = 4 hours 8 minutes
Trains already lose, unless both your source and destination are right next to the train stations. And once you factor possibility of other things, like having multiple stops or how you have to adjust the schedule around the trains, the car gets even better.