When you’re walking, most of the rain falls on your head and shoulders and some by walking into it. When you’re running the rain falls on your head, shoulders, but you’re also running into the rain ahead of you. Since you’re running faster than you’re walking, you’re going to absorb a lot more rain by running into it even though the overall time spent in the rain is reduced.
[Here’s the Mythbusters episode](https://www.youtube.com/watch?v=HtbJbi6Sswg) that /u/AverageNeither682 was referencing.
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