Logic Puzzles

12.

Morning Walk Logic

A man goes out for a walk. He walks 1 mile to the south, then 1 mile to the east and finally 1 mile to the north and ends up in the same place he started. Where did he start from? Where else might he have started from?

Submitted by v_jey · Added 6 July 2009

Solution:

The man either started at the North Pole, or the man started at a point just over a mile north of the South Pole, or at any latitude where walking 1 mile south takes him to a circle of latitude with a circumference that is an exact factor of 1 mile (such as 1/2 mile, 1/3 mile, etc.). After walking 1 mile south, he reaches this latitude, then walks 1 mile east, completing a full circle back to his starting point on that latitude, and finally walks 1 mile north to return to his original position.


Rate this puzzle

No votes yet β€” be the first! ❀️ πŸ‘ πŸ”§ πŸ‘Ž πŸ’€

Vote totals refresh periodically.

How difficult is this puzzle?

No difficulty ratings yet.

Comments (2)

rj82330 7 July 2009

Any number of points just over a mile NORTH of the SOUTH POLE.

Provided the circumference of the earth at the point where he starts walking east is an exact factor of 1 mile (i.e. a circumference of 1/2 a mile, or 1/3 a mile, or 1/4 a mile etc), he can walk round and round on this latitude until he has walked a mile "east", whereupon he'll be at his point of origin, and can head 1 mile north to the original start point.

Theoretically, he could start exactly 1 mile north of the South Pole, then "walk east" by standing on one spot and spinning in a circle until his body had arced 1760 yards, then walk back north: but this isn't really "walking".

v_jey 7 July 2009

good job rj82330
a more simpler way to expln is by assuming a perfectly spherical Earth, somewhere one mile north of the latitude (in the southern hemisphere) that is one mile in circumference. The man walks south one mile to this latitude and walks one mile east, which takes him all the way around and back to where he started. The last step (one mile north) retraces the first step he took (one mile south). 8)

Add a Comment or Suggest an Answer



« Back to Logic Puzzles


Puzzles

Site Map | Contact Us