You're taking things based on best scenarios...

You don't only need to take humidity, air temperature into account, but also how much a person has had to drink already before that person gone into a waterless drought...

3 minutes without air isn't true, people have stayed up to 5 minutes? without air... 3 minutes is probably the limit where an average person would start loosing consciousness and brain damage starts to occur.

I would say two (2) to four (4) days without water, depending on Humidity, Air Temperature, and how much a person has had to drink already...

I would say maybe in the last 12 hours you would lose consciousness and your organs would slowly dry out and die away...

Impossible for a person to live without water. Substitutes also contain water.

In best scenario, high air humidity (around 93%, non-fogging), low air temperature (around 18C), A person who is healthily hydrated, drunken atleast 3.1L of water in the past 24 hours, should live around 3.5 days, or in other words around 84 hours, that is my assumption, so knock yourselves out trying to prove me wrong!

There was a short quip I read years ago in an Analog magazine, semi relevant but funny;

Have you ever seen the show Survivorman or Man vs. Wild? The special need of the body for water comes up often including the additional information that a sufficiently water-saturated plant, if it's a safe plant, can allieviate some of the dehydration. Also interesting about Survivorman is that while the Canadian host is knowledgeble and capable of survival in most any environment, deserts kick his butt. For him it always comes down to not enough water in the environment to avoid dehydration. And that was even in winter when dew pools could be found.

For a real answer check out a first-aid or a 'what to do in an emergency' site.