A human can go up to a month without food. The body cannot go very long without water. A human can only live up to a week without water.
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I'm not completely sure, but you probably couldn't live on only water because you will need to eat. I believe you can go about 72 hours without food...
It depends on the conditions in the environment. On very hot days, the time is shorter. But 100 hours in temperate temperatures is about as long as possible.