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Kimble (David Janssen) uses the alias "Bill March" when he signs up as a deckhand on the Mexico-bound yacht skippered by Ralph Schuyler (Charles Bronson). The yacht's only passenger is Felice Greer (Anne Francis), who is heading toward a rendezvous with her embezzler husband Oliver (Charles Drake). What neither Kimble nor Felice realize is that Schuyler is an undercover cop, determined to put them both behind bars. But an engine-room fire radically alters the situation, placing Kimble on the horns of yet another "damned if he does, damned if he doesn't" dilemma.