June 5th, 2018, 11:28 PM  #11 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  Last edited by greg1313; June 6th, 2018 at 02:27 AM. 
June 6th, 2018, 03:36 AM  #12 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,291 Thanks: 932 
We all know it's A...

June 6th, 2018, 04:20 AM  #13  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,712 Thanks: 597 Math Focus: Yet to find out. 
This question was an example provided by Vladimir Arnold in his "A mathematical trivium II". Both trivium's I and II are well worth the read if you have time (only a couple of pages). After stating this problem he goes on to say: Quote:
 
June 6th, 2018, 05:20 AM  #14 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,291 Thanks: 932  
June 6th, 2018, 11:39 AM  #15  
Senior Member Joined: Aug 2012 Posts: 2,043 Thanks: 583  Quote:
You can't mean that after 60 minutes I go back to 1 hour and 1 minute. Because after four quarts of milk you get a gallon and then another quart is one gallon and one quart. I don't see your reasoning.  
June 6th, 2018, 02:02 PM  #16  
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101  Quote:
Your point about quarts and gallons is valid. But I'm going to state w/o justification that minutes are more naturally periodic than quarts. If only that the minute hand traces a circle and there is no real equivalent for quarts. We don't have a gallon clock.  
June 6th, 2018, 04:16 PM  #17  
Senior Member Joined: Aug 2012 Posts: 2,043 Thanks: 583  Quote:
 
June 6th, 2018, 04:54 PM  #18  
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101  Quote:
My oven won't let me program in 61 minutes, I have to program in 1 hr 1 minute. Basically it comes down to your interpretation of the coordinate system for time. Do you like a circular one, like clocks have used for millennia. Or do you like a linear one, like folks that work with relativity prefer.  
June 6th, 2018, 07:27 PM  #19  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,445 Thanks: 2499 Math Focus: Mainly analysis and algebra  Quote:
Edit: pretty sure that I've got something well and truly messed up here, but it's too late to work out what, but there aren't 360 hours in a day. Last edited by v8archie; June 6th, 2018 at 07:29 PM.  
September 8th, 2018, 05:51 PM  #20 
Newbie Joined: Apr 2014 From: Edmonton Posts: 11 Thanks: 0 
I think the answer is actually A B and C. Logically the three are equal because of how the measurement unit relates to whats measured. Thanks for the neat question friend!


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