Returning Explorer Puzzle/Variant 1

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Puzzle

A "sportsman" who shoots things for fun decided to go out and shoot a bear.

Suddenly he saw a huge bear a hundred metres due east.

In a panic, in confusion, he ran due north for a hundred metres.

Then he caught hold of himself and stopped, and turned.

He saw the bear, which had not moved, a hundred metres due south.

Of course, he shot and killed the poor bear.

What colour is that bear?


Solution

White.


Proof

The explorer starts a hundred metres from the North Pole.

The bear, being due east of the man, is also a hundred metres from the North Pole.

Running due north for a hundred metres places him exactly at the North Pole.

Every direction from the North Pole is due south.

The bear, as a consequence, must be a polar bear.

$\blacksquare$


Sources