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If the chicken is not allowed to change direction, then it will lose for sure. Obviously, it would want to run toward the opposite end of the circle. Let Th be the time of the human, and Tc be the time of the chicken, one can show that:Th/Tc = pi/4 < 1, so the human will get there before the chicken.If the chicken is allowed to zigzag, then it can easily beat the human.
If the chicken is not allowed to change direction, then it will lose for sure. Obviously, it would want to run toward the opposite end of the circle. Let Th be the time of the human, and Tc be the time of the chicken, one can show that:
Th/Tc = pi/4 < 1, so the human will get there before the chicken.
If the chicken is allowed to zigzag, then it can easily beat the human.
