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The farmer and the pig (Posted on 2008-11-13) Difficulty: 3 of 5
A farmer wants to catch a pig which is 100 meters away from him. They start running at the same time. The pig runs straight ahead, initially perpendicular to the line farmer-pig, at constant speed. The farmer always runs in the direction where he sees the pig (also at constant speed).

If the ratio of the speeds is 3:1 (farmer:pig), how far would the pig have traveled till the farmer caught it?

See The Solution Submitted by pcbouhid    
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Analytical Solution | Comment 3 of 5 |

the farmers path can be defined by the differential equation


with y(100)=0 and y'(100)=0 this gives


so when x=0 y=-112.5 so when the farmer finally catches the pig, the pig will have traveled 112.5 meters

  Posted by Daniel on 2008-11-17 14:43:48
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