Tiger and duck problem
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A duck floats at the centre of a circular lake.
A hungry tiger waits a the edge of the lake, watching the duck.
The tiger can run four times the speed at which the duck can swim, but it can only go over land (i.e. around the circumference of the circle).
How can the duck reach the edge of the lake before the tiger and hence escape?
Scroll down for a hint.
Hint: only basic geometry is required.
Scroll down for another hint.
Hint: consider the angular speed of the duck and the angular speed of the tiger.
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