Poll: I met a man on the way to Cambridge.

Stryfe

At least one of us was going to Cambridge.

Blue

Either I was going to Cambridge or he was going to Cambridge, but one cannot tell from the phrasing.

Steve

We need a fourth option.

Lynque

Oh, yes you can. Whom did I meet, a man, or a man on the way to Cambridge? If I were on the way, 'twould be, 'On the way to Cambridge, I met a man," wouldn't it?

Dave

I met a man on the way to Cambridge. (I was going to Cambridge.) I met a man who was on the way to Cambridge. (The man was on the way to Cambridge.)

Thomas Lee

If the man were on the way to Cambridge, I would phrase it "I met a man on his way to Cambridge".