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

Puzzles and Curious Problems by Henry Ernest Dudeney: $210$

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 $C$.

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?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $210$. -- Pat and his Pig
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Plane Geometry Puzzles: $307$. Pat and his Pig