It's not reasonable to expect your employer to pay for your commute time if you don't use that commute time to work. You can work for them on the train. You shouldn't work for them on the train if you're not getting paid for it, but you're generally also not expected to work on the train. You can't work for them while you're driving. You can think of that driving time as work, but you shouldn't expect your employer to consider it work.

Where you choose to live and work are up to you, and need to be factored in to the burden. Commuting is only "work" if you're expected to do something during the commute.