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The dog chases the fox


Best Answer bonanova, 07 June 2013 - 08:21 AM

Got it. Similar to previous puzzle.

 

Spoiler for Golden retriever?

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#1 BMAD

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Posted 01 June 2013 - 09:51 PM

A dog hiding in the tall grass at the edge of a circular field spots a fox at the center of the eld. The fox, unable to see the dog but sensing the danger, begins to run at a constant speed along a straight line path towards the safety of a uniformly selected random point at the edge of the eld. At that same instant the dog jumps
the fence and runs straight at the fox at a constant speed M times that of the fox.
 
Find the probability that the fox will escape the field, and the value of M at which the dog must run to have a 50% chance of catching the fox.

 


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#2 Barcallica

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Posted 02 June 2013 - 07:00 AM

Spoiler for


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#3 bonanova

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Posted 02 June 2013 - 01:37 PM

Nice problem but just to clarify

Spoiler for the dogs path

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#4 bonanova

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Posted 02 June 2013 - 01:56 PM

Spoiler for for starters

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 bonanova

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Posted 07 June 2013 - 08:21 AM   Best Answer

Got it. Similar to previous puzzle.

 

Spoiler for Golden retriever?


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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