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YES. HE TOOK AS MUCH TIME FOR THE SECOND HALF OF HIS TRIP AS THE WHOLE TRIP WOULD HAVE TAKEN ON FOOT. SO NO MATTER HOW FAST THE TRAIN WAS, HE LOST EXACTLY AS MUCH TIME AS HE SPENT ON THE TRAIN. HE WOULD HAVE SAVED 1⁄30 OF THE TIME BY WALKING ALL THE WAY SHE WAITS UNTIL THE GUARD IS INSIDE HIS HUT, THEN WALKS HALFWAY ACROSS BEFORE STARTING TO WALK BACK. THE GUARD, SEING SHE HAS NO PAPERS, SENDS HER "BACK" YES, THERE IS A POINT ALONG THE PATH THAT THE MONK OCCUPIES AT PRECISELY THE SAME TIME ON BOTH DAYS. IF YOU ASSUME THAT THE THERE ARE TWO MONKS, ONE DOES THE ROUTE FROM THE TOP, AND THE OTHER FROM THE BOTTOM. AT SOME POINT, THEY MUST MEET. THERE'S YOUR POINT THE ANSWER IS INFINITE, IN A GRAVITY FREE WORLD. BUT OF COURSE GRAVITY WILL EVENTUALLY STOP IT