Dagny Taggart hears Brakeman whistling the theme of a concerto. When she asks him what piece it's from, he says Halley's Fifth Concerto. When Dagny points out that Richard Halley only wrote four concertos, Brakeman claims he made a mistake and he doesn't recall where he heard the piece.
Later, after Dagny instructs the train crew how to proceed, he asks a co-worker who she is, and learns she is the one who runs Taggart Transcontinental.
It is later discovered that the unknown brakeman is none other than John Galt himself. This is learned because {Dagny Taggart's childhood friend / trusted lieutenant} has been having lunch with him for years, and recognizes Galt's voice during his extended speech on the radio.
Part 1, Chapter 1, section 2 Section112 Part 1, Chapter 1, section 3 Section113