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A time (and space) traveler has landed on the planet Raxacoricofallapatorius in the distant future. She...

A time (and space) traveler has landed on the planet Raxacoricofallapatorius in the distant future. She is standing in a desert at point A, 200 feet (perpendicularly) from a straight road, and her ship is located 500 feet down the road at point B. Suddenly, she realizes she has gone too far into the future and the planet’s sun is about to go supernova. She can run at 10 ft/s across the desert sand, and 15 ft/s on the road. In order to reach the safety of her ship in the shortest possible time, how close to it should she be at point C, when she reaches the road?

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