A man and woman meet by chance at a romantic inn over dinner. Although both are married to others, they find themselves in the same bed the next morning questioning how this could have happened. They agree to meet on the same weekend each year. Originally a stage play, the two are seen changing, years apart, always in the same room in different scenes. Each of them always appears on schedule, but as time goes on each has some personal crisis that the other helps them through, often without both of them understanding what is going on.

Fearful that their star witness might be murdered, two attorneys hire a protector to bring him from Los Angeles to New York. Jesse Crowder (Fred Williamson) is a no-nonsense tough guy. He buddies up with the witness, an accountant, and they hit the road. Outwitting their foes means taking all manner of conveyance, including automobile, train, and airplane.