Crackle said:
I'm covering the same distance and therefore the same volume of water is going to hit me whether I run or walk?
Not necessarily. If you assume that it's not windy and the rain is falling straight down. If you stand still rain will land on your head and shoulders, the area presented to the vertically falling drops.
However, if you run in the same rain not only will drops land on you but you will run into drops that would otherwise pass in front of you.
However, if you have an umbrella, it's windy or you wear a car, or any other of a large number of variables, the above ilistaration is rendered bollocks! :0)