Math Puzzles (Read the Rules!)

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Re: Math Puzzles (Read the Rules!)

Postby J-Bolt » Fri Apr 16, 2010 8:36 am

chiggins wrote:
J-Bolt wrote:
1.5 chickens, duh


Tito got mine.


Except that 1.5 per 1.5 per 1.5 works as an average, or for purposes of establishing rate, but in reality a half chicken cannot lay an egg at all.

Therefore: if you want to get 9 eggs in 9 days, you'll need 2 chickens, which will give you 12 eggs that you can take your 9 from. 1 chicken would only give you 6, and 1 and a half chickens would also only give you 6.

Come on now. :)


I did say If one and half chickens can lay... :)
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 9:25 am

J-Bolt wrote:I did say If one and half chickens can lay... :)


One chicken can lay eggs, the half chicken is just gonna lay there.


FARMER: Git ta work, ya lazy freeloading half-chicken, this is America!

HALF-CHICKEN: (continues to lay there.)

Oh, well, unless you're talking about this half-chicken.
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Re: Math Puzzles (Read the Rules!)

Postby Timko » Fri Apr 16, 2010 11:31 am

chiggins wrote:Disclaimer, I asked the Internet for help on this one, better something good than anything I can remember right now. But it's a good one, and the solution's is pretty nifty.

So, you've got 10,000 lbs. of grain in Townburg, and you want to get as much of it as you can to Big City 1,000 miles away. You've got a camel that can carry 1000 lbs. at a time, and eats a pound of grain per mile. You can safely stash your grain along the route and come back to it. How much grain can you get to Big City?


Anyone close to answering this? I've been befuddled by it all day.
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 12:02 pm

Ready for a clue?
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Re: Math Puzzles (Read the Rules!)

Postby J-Bolt » Fri Apr 16, 2010 12:11 pm

I am getting nowhere... Mind keeps drifting to DG this afternoon
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 12:29 pm

Okay, I think this is a good clue to get it moving without giving it away.

You always want the camel to be carrying 1000 lbs on the way out. You lose efficiency on light loads. So how much grain should you carry to the first cache point, and how far away is it?
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 2:37 pm

Second clue:

Since you're going to cache the first 9000 lbs., it's going to take a certain number of one-way trips to get 9000 lbs to the first cache point, 1000 lbs at a time. The distance of the first point will be how far each of those trips can be, such that their total adds up to 1000 miles:

(1000 lbs grain * 1 mi/lb-grain) / X trips = Y mi/trip
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Re: Math Puzzles (Read the Rules!)

Postby Timko » Fri Apr 16, 2010 2:59 pm

you also need to feed the camel on those return trips, right?
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 3:08 pm

Timko wrote:you also need to feed the camel on those return trips, right?


Yep, however he doesn't eat any more or less under load, so it's just 1lb/mi (or 1 mi/lb).
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Re: Math Puzzles (Read the Rules!)

Postby jubuttib » Sat Apr 17, 2010 8:37 pm

chiggins wrote:
J-Bolt wrote:
1.5 chickens, duh


Tito got mine.


Except that 1.5 per 1.5 per 1.5 works as an average, or for purposes of establishing rate, but in reality a half chicken cannot lay an egg at all.

Therefore: if you want to get 9 eggs in 9 days, you'll need 2 chickens, which will give you 12 eggs that you can take your 9 from. 1 chicken would only give you 6, and 1 and a half chickens would also only give you 6.

Come on now. :)

Just to note, math doesn't really have to have anything to do with reality. Math is theoretical. If you can take at face value a question like "car a leaving Townsburg is driving XX mph and car b leaving Hamletville is driving YY mph and the distance between the cars is ZZZZ miles, at what point will the cars meet?" and not go into a discussion about the effects of traffic jams, necessary toilet breaks, refilling the fuel tank etc. then you should bloody well be able to accept half a chicken laying half eggs. =)
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Sun Apr 18, 2010 7:22 am

jubuttib wrote:...then you should bloody well be able to accept half a chicken laying half eggs. =)


And yet I don't. Bloody well accept that.
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Re: Math Puzzles (Read the Rules!)

Postby jubuttib » Sun Apr 18, 2010 8:09 am

chiggins wrote:
jubuttib wrote:...then you should bloody well be able to accept half a chicken laying half eggs. =)


And yet I don't. Bloody well accept that.

Fair enough.
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Mon Apr 19, 2010 8:47 am

jubuttib wrote:
chiggins wrote:And yet I don't. Bloody well accept that.

Fair enough.


I wrote that headed out the door, and didn't realize how harsh that reads without a smiley until I came back to it later. My bad, please (bloody well) accept my apology, jubuttib. Here's the missing smiley: :)

And from now on, I'll ask whether or not I'll ask for a specification on whether the riddler is asking for the math or engineering answer.
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Re: Math Puzzles (Read the Rules!)

Postby ChUcK » Mon Apr 19, 2010 9:09 am

You know you have woken up in the wrong mood for math problems when the first response that comes to your head is "Shoot the fuckin' camel". :evil:



edit: I'm jealous of the math problem thread. I think I may start a competing Organic Chem thread full of synthetic reactions. The first list of problems will look remarkably similar to the HW I have due tomorrow...
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Re: Math Puzzles (Read the Rules!)

Postby Timko » Mon Apr 19, 2010 9:24 am

I'm going to work on this tonight. Promise. I'm pretty sure I figured out how to get grain of any sort to the destination; now I just need to maximize the solution. This is a great linear programming problem.
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