Let's assume you're a male adult. You're on the Titanic. The ship is going down. What do you do? I'd kick a child off an escape boat and take his place.
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I'd find the woman of my choice, tell her I can save her, go deck by deck until I find the TARDIS, gain access into said TARDIS by a welcoming Peter Capaldi, and then me and my lady friend would become Doctor Who's new companions. That's how you escape any historical disaster.