Somewhere on the high seas smuggler Stan is attempting, without much
luck, to outspeed coast guard Charlie, whose boat can go faster than Stan's. Charlie
is one mile east of Stan when a heavy fog descends. It's so heavy that
nobody can see or hear anything further than a few feet. Immediately
after the fog descends, Stan changes course and attempts to escape at
constant speed under a new, fixed course. Meanwhile, Charlie has lost track
of Stan. But Charlie happens to know Stan's speed, that it is constant, and that Stan
is sticking to some fixed heading, unknown to Charlie.
How does Charlie catch Stan?
Charlie may change course and speed at will. He knows his own speed and
course at all times. There is no wind, Charlie does not have radio or radar,
there is enough space for maneuvering, etc.
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