PPT Slide
Cary Grant could have gone to Penn Station and take the Pennsylvania Railroad’s Broadway Limited, and the distance would have been only 907.7 miles (However, he would not have met Eva Marie Saint on the train...).
Suppose you were asked what the distance by train is between New York and Chicago. There is a substantial uncertainty introduced by the choice in route.
One reasonable solution would be to quote a number with an uncertainty: “…940 miles, plus or minus about 30 miles.”