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Water at 76º C (Posted on 2008-06-17) Difficulty: 2 of 5
You only have these three containers, all irregular in their shape (though it doesn´t appear in the simplified drawing below), with no marks in them, and all that you know is the capacity of each one.

The 3-liter is empty, the 5-liter is full of 50ºC water, and the 6-liter is full of 90ºC water.

                                  |/////|
                      |/////|     |/////|
                      |/////|     |/90º/|
          |     |     |/50º/|     |/////|
          |     |     |/////|     |/////|
          |     |     |/////|     |/////|
          +-----+     +-----+     +-----+
           3-lit       5-lit       6-lit
With a succession of moves, how do you get some water at 76ºC? At 75ºC?

How many different integral temperatures, from 50ºC to 90ºC, can you get?

  Submitted by pcbouhid    
Rating: 4.0000 (2 votes)
Solution: (Hide)
Solution can be found in Dej Mar and Charlie´s comments. In fact, they achieve more integral temperatures than I had. The open question is if it´s possible to get 59, 61 and 83 degrees.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionStep Details for 75 and 76Charlie2008-06-18 11:05:44
SolutionsolutionDej Mar2008-06-17 17:47:02
Some ThoughtsTrial and Error and not there yetLeming2008-06-17 16:50:29
Solutionaha!; now I've got it (spoiler)Charlie2008-06-17 16:28:06
Some ThoughtsComputer exploration (spoiler?); is this it?Charlie2008-06-17 16:07:02
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