Author |
Topic: Hamburgers (Read 968 times) |
|
FiBsTeR
Senior Riddler
Gender: 
Posts: 581
|
You are cooking hamburgers, and, being quite picky, you want both sides of each burger to be fully cooked, and thus cooked equally. The type of burger and grill you are using are such that if you were to simply place the burger on the grill, the top side would cook in 5 minutes, whereas the bottomside would cook in 2 minutes. To avoid burning the burger, you must therefore cook the burger for some time, then flip it for the remaining time.
How long does it take to cook this burger?
|
| « Last Edit: Aug 5th, 2007, 5:39pm by FiBsTeR » |
 IP Logged |
|
|
|
JiNbOtAk
Uberpuzzler
Hana Hana No Mi
Gender:
Posts: 1187
|
 |
Re: Hamburgers
« Reply #1 on: Aug 5th, 2007, 5:48pm » |
 Quote  Modify
|
What's wrong with 4 ?
|
|
IP Logged |
Quis custodiet ipsos custodes?
|
|
|
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
The dewdrop slides into the shining Sea
Gender:
Posts: 4489
|
|
Re: Hamburgers
« Reply #2 on: Aug 5th, 2007, 7:37pm » |
Quote Modify
|
on Aug 5th, 2007, 5:48pm, JiNbOtAk wrote:
Wouldn't it be overcooked?
20/7 minutes. After 5/7 of 2 minutes the bottom side would be 5/7 cooked and the top side would be 2/7 cooked. So flip it over for another 5/7 of two minutes for an al dente hamburger.
|
| « Last Edit: Aug 5th, 2007, 7:38pm by ThudnBlunder » |
IP Logged |
THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
|
|
|
mikedagr8
Uberpuzzler
A rich man is one who is content; not wealthy.
Gender:
Posts: 1105
|
|
Re: Hamburgers
« Reply #3 on: Aug 5th, 2007, 11:20pm » |
Quote Modify
|
Why is the top side cooked when your doing the bottom side? Why not just cook the whole thing through in 4 minutes?
|
|
IP Logged |
"It's not that I'm correct, it's that you're just not correct, and so; I am right." - M.P.E.
|
|
|
JiNbOtAk
Uberpuzzler
Hana Hana No Mi
Gender:
Posts: 1187
|
|
Re: Hamburgers
« Reply #4 on: Aug 6th, 2007, 1:25am » |
Quote Modify
|
on Aug 5th, 2007, 7:37pm, ThudanBlunder wrote:Wouldn't it be overcooked?
|
|
Ahh, yes. I see it now. Though, would it hold for actual practice ?
|
| « Last Edit: Aug 6th, 2007, 1:26am by JiNbOtAk » |
IP Logged |
Quis custodiet ipsos custodes?
|
|
|
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
The dewdrop slides into the shining Sea
Gender:
Posts: 4489
|
|
Re: Hamburgers
« Reply #5 on: Aug 6th, 2007, 4:19am » |
Quote Modify
|
on Aug 5th, 2007, 11:20pm, mikedagr8 wrote:| Why is the top side cooked when your doing the bottom side? |
|
It is partly cooked (by the heat permeating through the hamburger).
on Aug 6th, 2007, 1:25am, JiNbOtAk wrote:
Ahh, yes. I see it now. Though, would it hold for actual practice ? |
|
If
the bottom side cooks in b minutes
and
the top side cooks in t minutes
then
time required = 2tb/(t+b), the harmonic mean of b and t
But if the centre is cooked in (t+b)/2 minutes,
then it will not be completely cooked as arithmetric mean > harmonic mean for two positive numbers.
|
| « Last Edit: Aug 6th, 2007, 8:47am by ThudnBlunder » |
IP Logged |
THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
|
|
|
FiBsTeR
Senior Riddler
Gender:
Posts: 581
|
|
Re: Hamburgers
« Reply #6 on: Aug 6th, 2007, 10:33am » |
Quote Modify
|
Good job, ThundanBlunder, and thanks for clarifying the problem.
For this problem, it's safe to assume that there are only 2 parts of the burger: top and bottom. (I'm sure this assumption would not be safe to make if you were a chef.) I just thought of this while eating dinner last night (guess what I was having...).
|
| « Last Edit: Aug 6th, 2007, 10:36am by FiBsTeR » |
IP Logged |
|
|
|
SWF
Uberpuzzler
Posts: 879
|
|
Re: Hamburgers
« Reply #7 on: Aug 6th, 2007, 9:29pm » |
Quote Modify
|
After the first minute or so, the top of the burger would be close to 0% cooked, since it takes a while for the top to heat to a reasonable cooking temperature. Assuming the top cooks an amount proportional to time is inaccurate.
|
|
IP Logged |
|
|
|
JiNbOtAk
Uberpuzzler
Hana Hana No Mi
Gender:
Posts: 1187
|
|
Re: Hamburgers
« Reply #8 on: Aug 7th, 2007, 4:44am » |
Quote Modify
|
on Aug 6th, 2007, 9:29pm, SWF wrote:After the first minute or so, the top of the burger would be close to 0% cooked, since it takes a while for the top to heat to a reasonable cooking temperature. Assuming the top cooks an amount proportional to time is inaccurate.
|
|
Well, I guess FiBsTeR is going for the ultra thin hamburgers, eh ?
on Aug 6th, 2007, 10:33am, FiBsTeR wrote:| For this problem, it's safe to assume that there are only 2 parts of the burger: top and bottom. (I'm sure this assumption would not be safe to make if you were a chef.) |
|
Though, if we are to assume normal condition, even 4 minutes seems insufficient, the top and bottom might be done, the middle portion most probably won't.
So what's the best way to cook a hamburger ? Flip it every 20 seconds or so until both sides are done, or concentrate on each side, minimizing flipping ?
|
|
IP Logged |
Quis custodiet ipsos custodes?
|
|
|
mikedagr8
Uberpuzzler
A rich man is one who is content; not wealthy.
Gender:
Posts: 1105
|
|
Re: Hamburgers
« Reply #9 on: Aug 7th, 2007, 4:48am » |
Quote Modify
|
turn it into a sphere, suspend it in a heating container , heat it until all cooked then reshape. So < 4 minutesi id say then. 
|
|
IP Logged |
"It's not that I'm correct, it's that you're just not correct, and so; I am right." - M.P.E.
|
|
|
FiBsTeR
Senior Riddler
Gender:
Posts: 581
|
|
Re: Hamburgers
« Reply #10 on: Aug 7th, 2007, 4:54am » |
Quote Modify
|
Can't you all just appreciate the simplicity of the problem? 
If you wanted to go through the riddle site and weed out all the inaccurate/impossible ones, be my guest. Who ever heard of an infinite hotel? How do you play a game with the devil? The list goes on and on. Sorry for adding one more to it.
|
| « Last Edit: Aug 7th, 2007, 4:57am by FiBsTeR » |
IP Logged |
|
|
|
SWF
Uberpuzzler
Posts: 879
|
|
Re: Hamburgers
« Reply #11 on: Aug 7th, 2007, 6:26am » |
Quote Modify
|
Please don't take my comments on the answers given so far as criticism of the question. I think this is an very good question
|
|
IP Logged |
|
|
|
Grimbal
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 7527
|
|
Re: Hamburgers
« Reply #12 on: Aug 8th, 2007, 2:51am » |
Quote Modify
|
Doesn't anybody cook his hamburgers in a toaster? 
|
|
IP Logged |
|
|
|
mikedagr8
Uberpuzzler
A rich man is one who is content; not wealthy.
Gender:
Posts: 1105
|
|
Re: Hamburgers
« Reply #13 on: Aug 8th, 2007, 3:01am » |
Quote Modify
|
um no
|
|
IP Logged |
"It's not that I'm correct, it's that you're just not correct, and so; I am right." - M.P.E.
|
|
|
Zatanna
Newbie
Posts: 18
|
|
Re: Hamburgers
« Reply #14 on: Aug 15th, 2007, 4:42pm » |
Quote Modify
|
I would say about 2 minutes, 20 seconds.
|
|
IP Logged |
|
|
|
mikedagr8
Uberpuzzler
A rich man is one who is content; not wealthy.
Gender:
Posts: 1105
|
|
Re: Hamburgers
« Reply #15 on: Aug 15th, 2007, 5:16pm » |
Quote Modify
|
explain please, my mums a chef and she says that for a traditional aussie style pattie, it should take in total about 5-7 minutes depending on thickness.
|
| « Last Edit: Aug 15th, 2007, 5:17pm by mikedagr8 » |
IP Logged |
"It's not that I'm correct, it's that you're just not correct, and so; I am right." - M.P.E.
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Hamburgers
« Reply #16 on: Aug 16th, 2007, 12:33am » |
Quote Modify
|
on Aug 15th, 2007, 5:16pm, mikedagr8 wrote:| explain please, my mums a chef and she says that for a traditional aussie style pattie, it should take in total about 5-7 minutes depending on thickness. |
|
Ah, but see, this isn't an aussie style hamburger, it's a mathematical hamburger!
It defies the culinary laws, as well as the physical ones, probably.
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
JiNbOtAk
Uberpuzzler
Hana Hana No Mi
Gender:
Posts: 1187
|
|
Re: Hamburgers
« Reply #17 on: Aug 16th, 2007, 5:42pm » |
Quote Modify
|
Geez, considering how difficult it is to agree on the cooking time, I shudder to think on the suggestions on the best way to eat a mathematical hamburger. 
|
|
IP Logged |
Quis custodiet ipsos custodes?
|
|
|
mikedagr8
Uberpuzzler
A rich man is one who is content; not wealthy.
Gender:
Posts: 1105
|
|
Re: Hamburgers
« Reply #18 on: Aug 16th, 2007, 8:38pm » |
Quote Modify
|
Think, chew, swallow is my answer.
|
|
IP Logged |
"It's not that I'm correct, it's that you're just not correct, and so; I am right." - M.P.E.
|
|
|
alien2
Uberpuzzler
Gender:
Posts: 6991
|
|
Re: Hamburgers
« Reply #19 on: Aug 17th, 2007, 9:57am » |
Quote Modify
|
Flip the burger every 5 seconds. Or, if you like it bloody as Hell, no need to overcook it. And if you are a cat, no need to cook this burger at all. 
|
|
IP Logged |
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print