Henry Ernest Dudeney/Puzzles and Curious Problems/210 - Pat and his Pig

by : $210$

 * Pat and his Pig
 * The diagram represents a field $100$ yards square.
 * Pat is at $A$ and his pig is at $B$.
 * The pig runs straight for the gateway at $C$.


 * Dudeney-Puzzles-and-Curious-Problems-210.png


 * As Pat can run twice as fast as the pig, you would expect that he would first make straight for the gate and close it.
 * But this is not Pat's way of doing things.
 * He goes directly for the pig all the time, thus taking a curved course.
 * Now, does the pig escape, or does Pat catch it?
 * And if he catches it, exactly how far does the pig run?