In this problem you have a special watch that tells you exactly what local time is, with 12:00
always being the time when the Sun is highest in the sky at that point (ie no Daylight Saving
Time and no irregular Time Zones.)
When you leave your house, your watch says 06:00.
You turn to face east and travel in a straight line.
When you stop, your watch says 18:00 and you have reached a longitude of 60°E.
You now turn to face west and travel in another straight line for the same distance as before.
When you stop this time, your watch still says 18:00.
You now travel due south until you get home, by which time your watch says 22:00.
You travel at a constant speed the whole time, and get back on the same day as you left.
Where do you live?