# walking in the rain problem

The question is whether you get wetter by walking or running a given distance
through rain that is falling at a constant rate. An early appearance of
this problem was in Bagley's *Paradox Pie* (1944). A simple answer
is that moving faster is better. If the rain falls vertically and the density
of water in the air is assumed constant, then, no matter what your speed,
you'll sweep out the same volume and will always get the same amount of
water hitting your front. However, running rather than walking will reduce
the amount of water landing on your head.