181.--THE THREE RAILWAY STATIONS.

As I sat in a railway carriage I noticed at the other end of the

compartment a worthy squire, whom I knew by sight, engaged in

conversation with another passenger, who was evidently a friend of his.

"How far have you to drive to your place from the railway station?"

asked the stranger.

"Well," replied the squire, "if I get out at Appleford, it is just the

same distance as if I go to Bridgefield, another fifteen miles farther

on; and if I changed at Appleford and went thirteen miles from there to

Carterton, it would still be the same distance. You see, I am

equidistant from the three stations, so I get a good choice of trains."

Now I happened to know that Bridgefield is just fourteen miles from

Carterton, so I amused myself in working out the exact distance that the

squire had to drive home whichever station he got out at. What was the

distance?

Amusements in Mathematics · 第 211 / 970 题