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Posted on Jun 14, 2017 at 04:40 PM

#1  Ancient and maybe as such not on the internet.  You have a quart jug of milk and you need exactly one ounce for a new recipe you are trying.  You have no graduated measuring cups, but you do have a 5 ounce measure and a 3 ounce measure.  How can you obtain exactly one ounce?  This is likely too easy for a bunch as smart as you all.  

 

#2  Also ancient.  A man is traveling upstream in a little outbord boat that goes 12 mph in still water.  The water is flowing downstream at 5 mph.  He loses his hat which luckily floats.  Before he notices he has traveled 27 minutes.  Presuming all speeds are additive, he can turn the boat around instantaneously, and acceleration is instantaneous, how long does it take him to catch his hat.   

 

I know you all can set up the algebra and solve this.  The numbers were selected to make that awkward.  Can you solve #2 in your head near instantaneously as the kids back in the day were expected to be able if they wanted to win.

 

Explain how you got your answers. 

 

Both puzzles adapted from the Putnam Math Exams from back pre 1945.  Not exactly the same.


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Posted on Jul 06, 2017 at 09:57 PM

Quoting 7344ZAC:

1.  Quart to 3, 3 to 5, quart to 3, 3 to 5, 1 ounce left.

 

2.  Most would calculate the positions relative to a fixed point on shore.  A mathematician would calculate it relative to the hat.... 27 minutes.

 

I would hope that the general IQ of the collective group is higher than the National Average of 98 and that they just chose not to strain their brains,but I can't be certain of that.


There are some who are very smart and articulate.  Just no good at math.  I am sure anne and funtimes could solve them.  I think they left them to see if anyone else would come forward.  


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Posted on Jul 06, 2017 at 02:45 PM

Quoting 7344ZAC:

1.  Quart to 3, 3 to 5, quart to 3, 3 to 5, 1 ounce left.

 

2.  Most would calculate the positions relative to a fixed point on shore.  A mathematician would calculate it relative to the hat.... 27 minutes.

 

I would hope that the general IQ of the collective group is higher than the National Average of 98 and that they just chose not to strain their brains,but I can't be certain of that.



Exactly right for both.  Maybe referring to the Putnam exam frieghtened them.  


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