Not too many months ago someone had a heart attack on a commuter train in Boston. Due to various miscommunications, the train continued on, making its normal stops, until it got to the place where doctors were to arrive and take the person, and it was said that this added delay resulted in the person's death.
On the other hand, if a train misses stops, the railroad or transit company owes passengers wanting to get off at those stops a free return trip.
Travel tips:
http://members.aol.com/ajaynejr/travel.htm