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Assuming that the rain is falling at a constant rate and vertically you will get hit by rain on your head and sholders because it is just falling down, and your front will get hit by rain because you are walking into the rain that was in front of you......You will walk into the same amount of rain however fast you walk and the faster you go the less rain hits you on the head. So it would make sense to go as fast as possible.
well then, speaking from experience, I believe that how wet you get also depends on how far your destination, like from school to my house as an hours walk, you might just get wet no matter what you do. I didn't catch a cold, though.
Yes, I think it's wrong to say that less rain hits your head; if you run (and hence complete the journey in less time) less rain lands on you full stop.