Around the World in 80 Days (1956) plot summary
Phileas Fogg bets half his fortune against other members of the Reform Club he can travel around the world in 80 days or less. He leaves with his valet, is followed by a detective who believes Fogg robbed the Bank of England, and picks up an Indian Princess along the way. He believes he lost the bet (and spent the other half of his fortune during the journey), but forgot that since he travelled east, he picked up a day. He arrives at the Reform Club with seconds to spare, and wins his bet.
Submitted by HighSorcerer