Solutions to WU’s puzzles and riddles : Globe Traversal (medium)

Globe Traversal

I am trying to find all the solutions and put them together at a single place, So feel free to add comments and if you have a solution please do post. Cheers … 🙂

Here is the puzzles link : http://www.wuriddles.com/

Question :how many places are there on the earth that one could walk one mile south, then one mile west, then one mile north and end up in the same spot? to be precise, let’s assume the earth is a solid smooth sphere, so oceans and mountains and other such things do not exist. you can start at any point on the sphere. also, the rotation of the earth has nothing to do with the solution; you can assume you’re walking on a static sphere if that makes the problem less complicated to you. Hint 1: think you’ve figured it out? do you know that there’s more than one? in fact, there are more than two. also note that walking north from the north pole (or south from the south pole) is illogical and therefore does not enter into the problem. all normal assumptions about directions will be used.

Hint 2: christopher columbus.

My Solution: There are infinitely many points in which the above condition is possible if we assume that the earth is a perfect sphere and while travelling the distance, there are no obstructions like mountains etc…. For any point, lets draw the longitude originating  from that point. then it will be like a north pole. So if we move south and then west and again north, we will end up at the same point. For visual explanation look at the globe at the north pole and observe the longitudes and latitudes.


1 Response to “Solutions to WU’s puzzles and riddles : Globe Traversal (medium)”

  1. July 17, 2013 at 10:06 pm

    Its like you read my mind! You appear to know so much about
    this, like you wrote the book in it or something.
    I think that you could do with a few pics to drive the message home a bit, but other than that, this is great
    blog. A fantastic read. I’ll definitely be back.

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