The duck and the fox

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A duck is in circular pond.  The duck wants to swim ashore, because it wants to fly off and this particular duck is not able to start flying from the water.  There is also a fox, on the shore.  The fox wants to eat the duck, but this particular fox cannot swim, so it can only hope to catch the duck when the duck reaches the shore.  The fox can run 4 times faster than the duck can swim.  Is there always a way for the duck to escape?

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    No it cannot .
    Minimum distance the duck has to go is the radius of the circle   in order to make the fox run to maximum distance ( half of the circle) to reach the duck .
    In that situation also the ratio of the distance between fox and duck are 3.14: 1 ( pi : 1) .  which is smaller than 4:1  the speed ratio between them .

    So  no matter where the Duck goes , the fox can catch it  and  Guess what !  bon appetit!!! 

    sree Scholar Answered on 7th October 2015.
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