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Farmer Templeton's Goat


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#1 Prof. Templeton

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Posted 09 December 2008 - 04:19 PM

Farmer Templeton took his newly aquired goat, which he named Monty, and tied him to a rope on the side of the silo off his barn. The silo is 24 meters in diameter, and the rope is 12 meters long. Allowing some assumptions for simplicity...
1.)How much will Monty eat in square meters?
2.)If Monty is tied to the silo at 11:12 AM and he eats 122 m2 per hour, how long will it be till he's done eating?


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#2 LichWriter

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Posted 09 December 2008 - 04:45 PM

Farmer Templeton took his newly aquired goat, which he named Monty, and tied him to a rope on the side of the silo off his barn. The silo is 24 meters in diameter, and the rope is 12 meters long. Allowing some assumptions for simplicity...
1.)How much will Monty eat in square meters?
2.)If Monty is tied to the silo at 11:12 AM and he eats 122 m2 per hour, how long will it be till he's done eating?



Spoiler for I was stumped by the last one, but I have a guess at the little fellow's lunchtime snack...

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#3 bonanova

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Posted 09 December 2008 - 04:47 PM

Spoiler for About

Lichwriter gets it ... wink.gif


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#4 xucam

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Posted 09 December 2008 - 04:58 PM

Farmer Templeton took his newly aquired goat, which he named Monty, and tied him to a rope on the side of the silo off his barn. The silo is 24 meters in diameter, and the rope is 12 meters long. Allowing some assumptions for simplicity...
1.)How much will Monty eat in square meters?
2.)If Monty is tied to the silo at 11:12 AM and he eats 122 m2 per hour, how long will it be till he's done eating?


It depends on whether he is tethered inside or outside the silo... :D
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#5 lazboy

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Posted 09 December 2008 - 06:45 PM

Spoiler for About

Lichwriter gets it ... ;)

Seems to me that this estimation was a bit too liberal with the assumptions.
Spoiler for Here's what I get


Spoiler for Now, if you want to get REALLY precise

Edited by lazboy, 09 December 2008 - 06:46 PM.

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#6 lazboy

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Posted 09 December 2008 - 07:12 PM

It depends on whether he is tethered inside or outside the silo... :D

It also would depend on the proximity of the barn to the point at which the goat is tethered on the silo, now that I read the OP more carefully (assuming the goat is, in fact, on the outside of the silo). :P
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#7 xucam

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Posted 09 December 2008 - 07:30 PM

Seems to me that this estimation was a bit too liberal with the assumptions.

Spoiler for Here's what I get


Spoiler for Now, if you want to get REALLY precise


Spoiler for Shoot, while I was a-doing the math someone beat me to this!

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Edited by xucam, 09 December 2008 - 07:30 PM.

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#8 Grayven

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Posted 09 December 2008 - 07:30 PM

Spoiler for Now, if you want to get REALLY precise

Spoiler for From what I know about goats...

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#9 bonanova

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Posted 09 December 2008 - 07:34 PM

Seems to me that this estimation was a bit too liberal with the assumptions.

Spoiler for Now, if you want to get REALLY precise

Spoiler for Too quick with the pencil, actually.
As for the rope, it does not impede the goat's access to the grass.
It's always behind his mouth if he walks away from the tie point. ;)
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#10 lazboy

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Posted 09 December 2008 - 07:42 PM

Spoiler for Too quick with the pencil, actually.
As for the rope, it does not impede the goat's access to the grass.
It's always behind his mouth if he walks away from the tie point. ;)

It is not the rope that impedes the goat, it is the silo. As the goat, on the end of its rope so as to stretch it taut, approaches the silo, the rope follows the curve of the silo and is no longer a straight line.
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