Road Thoughts

A puzzle by Sam Loyd:

Here is a pretty problem which I figured out during a ride from Bixley to Quixley astride a razor-back mule. I asked Don Pedro, a native guide who walked ahead of me pulling the mule forward by its reins, if my steed had another gait. He said it had but that it was much slower, so I pursued my journey at uniform speed. To encourage Don Pedro, who was my chief propelling power, I said we would pass through Pixley, so as to get some liquid refreshments; and from that moment he could think of nothing but Pixley.

After we had been traveling for forty minutes I asked how far we had gone. Don Pedro replied: ‘Just half as far as it is to Pixley.’

After creeping along for seven miles more I asked: ‘How far is it to Quixley?’ He replied as before: ‘Just half as far as it is to Pixley.’

We arrived at Quixley in another hour, which induces me to ask you to determine the distance from Bixley to Quixley.

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