A man was going on a one-way bus trip. He intended to ride for a certain distance, get off the bus and walk back to town.
If the bus travels at a rate of nine miles per hour and he was to jog back to town at a rate of three miles per hour, how far would he ride so that he’d be back in eight hours?
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Eighteen miles. Since he is riding three times as fast as he can jog, three quarters of his time must be spent jogging. Since he rode for two hours, travelling 18 miles, and jogged for six hours, travelling at three mph he made the round trip in eight hours.