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Guest Message by DevFuse
The dog chases the fox
4 replies to this topic
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.
Posted 02 June 2013 - 01:37 PM
Nice problem but just to clarify
Spoiler for the dogs path
Vidi vici veni.
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