Turtles can easily stay out of the water for 24 hours, if not longer depending on the environment. Food, generally they can go for about a week without food.
Neither of these are recommended, though. Why do you ask? If you are traveling, look up the tips on the main site about traveling with your turtle. If he's lost, follow meg's suggestions. Otherwise, try to keep them hydrated and well fed. Any added stress can harm the turtle in the long run.
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Baby Boy - January 9th, 2011! (3 months old)
1 RES - 7" long - Umi (3.5 years old)
1 black lab/hound mix - Josie (1.5 year old)
2 cats - Mysti and Molly (6.5 years old)