Puzzles!
Post your favorite math based riddles and puzzles here.
It's about time we had one of these threads.
My favorite one was actually posted on this forum awhile ago... had to do with tangents and circles... I'll see if I can find it.
Got it:
A space traveler named Rex is dropped off by his team at the bank of a river on a strange planet that has only one river. The river is completely straight and is very long. Rex begins to explore the planet in his dune buggy by driving in a straight line away from the river. But alas, his journey is abruptly ended when a tornado hits his dune buggy, spinning him around and knocking him unconscious so that he has forgotten which direction he was traveling.
Rex's dilemma: Rex does not know how to get back to the river so that his team can pick him up. What he does know is that he has traveled 1000 miles, he has enough gas in his tank to travel an additional 6400 miles. He has an accurate compass and an accurate odometer. He can travel in any direction he desires. What strategy should he employ to make sure that he can get back to the river?
(Any point on the river is OK)
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