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Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by Robert B. Banks

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12

How Fast Should You Run in the Rain?

There is a steady downpour of rain, you have no raincoat and no umbrella, and you must get from here to there without delay. And instinctively, you want to get the least wet as you make the excursion of specified distance.

If you walk slowly in the rain, only the top of your head and shoulders get wet; your front stays relatively dry as do your shoes and socks. However, with a slow walk you are out in the rain that much longer. If you jog at moderate speed, your front gets wet and your shoes get soggy from splashing water on the pavement; however, in this case your trip time is reduced. And if you run at full speed, the top of your head and shoulders avoid most of the rain, your front is drenched and your ...

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