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#1 |
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Billy=Semi Tough Big Guy
Join Date: Jan 2004
Location: between 5,000 and 10,000 feet elevation
Posts: 12,665
Adopt-a-Bronco: John Elway |
OK I know this is entirely inappropriate, but I have a serious case of brain lock trying to help my 6th grade daughter with her math homework. Can anyone help me set up the formula to solve this problem?
Tank has three different sized valves. If you open only valve A tank empties in 15 minutes, open only valve B and tank empties in 30 minutes, open only valve C and the tank empties in 45 minutes. How long does it take to empty tank of all three valves are opened. Damn, I feel stupid not being able to do an 11 year old's math. Duh ![]() |
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#2 |
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I'm Jack Bauer!
Join Date: Jan 2006
Location: Iowa
Posts: 3,577
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don't worry...Can't believe I'm admitting this...but yesterday I was helping my son with his math homework and usually I ace my math classes, but he asked me what 3 step division was......I had no clue...had to look it up to find the answer to help him. I felt like a dumb ass too. |
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#3 |
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The off-season.
Join Date: Nov 2004
Posts: 2,945
Adopt-a-Bronco: "The Greek" |
11.25 minutes using my "New Math" that I just invented.
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#4 |
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"Hoodie Jr"
Join Date: Jul 2001
Location: Hot Springs, Ouachitah
Posts: 77,090
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Not sure but I have to call the fuel company.
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#5 |
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"Hoodie Jr"
Join Date: Jul 2001
Location: Hot Springs, Ouachitah
Posts: 77,090
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You might think 30minutes, but the question doesn't answer the question of flow at all if all three are opened.
My answer is 30 minutes, approximately. Last edited by watermock; 05-11-2006 at 04:23 PM.. |
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#6 |
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Ring of Famer
Join Date: Mar 2004
Posts: 10,260
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its a rate question. pretend the tank has 1 gallon, first valve is 1/15th of a gallon/minute second is 1/30th of a gallon in a minute and third is 1/45th of a gallon in a minute.
common denominator makes it 6/90+3/90+2/90 which gives u 11/90 gallons/minute. which means it takes just under 9 minutes. hope that all worked out. |
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#7 |
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"Hoodie Jr"
Join Date: Jul 2001
Location: Hot Springs, Ouachitah
Posts: 77,090
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The reality is that unless it's pumped the pressure will change. Have him tell the tearcher that.
It'm terrible at math but they don't give the equation a pressure equation. |
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#8 |
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Self Appointed Expert
Join Date: Aug 2003
Posts: 25,136
Adopt-a-Bronco: Miss I |
Id just write down that in your opinon opening all 3 valves at the same time would create a pressure valcum which would effect the rate of flow. That being the case its a jacked question.
or you could say 13 minutes whichever you prefer. |
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#9 | |
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Self Appointed Expert
Join Date: Aug 2003
Posts: 25,136
Adopt-a-Bronco: Miss I |
Quote:
beat me to it . |
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#10 | |
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"Hoodie Jr"
Join Date: Jul 2001
Location: Hot Springs, Ouachitah
Posts: 77,090
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Quote:
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#11 |
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Self Appointed Expert
Join Date: Aug 2003
Posts: 25,136
Adopt-a-Bronco: Miss I |
Wait it would prolly be less then 10 minutes.
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#12 |
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Ring of Famer
Join Date: Apr 2006
Location: Denver
Posts: 3,040
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Valve a empties the tank at a rate of 1/15th of the tank per minute, valve B empties the tank at 1/30th per minute, and valve C empties the tank at 1/45th per minute. So add them up to get 2/90 + 3/90 + 6/90 = 11/90 all valves per minute. So 11/90*t(time) = 1 which comes out to 8 1/45 minutes.
Last edited by Lev Vyvanse; 05-11-2006 at 04:24 PM.. |
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#13 |
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I promise to stay alive
Join Date: Jan 2006
Location: Glendale
Posts: 5,014
Adopt-a-Bronco: CassiusVAAAUGHN |
wouldn't it be 15 minutes?
If A only takes 15, and all of them are open, it wouldn't matter because A is the fastest |
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#14 |
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I promise to stay alive
Join Date: Jan 2006
Location: Glendale
Posts: 5,014
Adopt-a-Bronco: CassiusVAAAUGHN |
now i remember why math was never my strongpoint
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#15 |
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STOP!
Join Date: Dec 2002
Location: In a van down by the river
Posts: 10,957
Adopt-a-Bronco: Von Miller |
when in doubt, the answer is always 'C' or '2'...
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#16 | |
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Orange
Join Date: Dec 2005
Location: Bend, OR
Posts: 8,038
Adopt-a-Bronco: dortoh |
Quote:
They are all three emptying at the same time...it would be under 15 minutes. Valve A would empty the most because it takes less time to empty it all. |
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#17 |
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The Kranz Dictum
Join Date: Jun 2005
Location: Tranquility Base
Posts: 29,015
Adopt-a-Bronco: MONEYBALL #38 |
I can do Binary Math & figure out how to subnet IP addresses but I cannot do simple multiplication or addition at the poker table.
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#18 |
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Billy=Semi Tough Big Guy
Join Date: Jan 2004
Location: between 5,000 and 10,000 feet elevation
Posts: 12,665
Adopt-a-Bronco: John Elway |
I can gues that it is going to be around 8 minutes, but for the life of me I can't think of what the formula would be . If it was just valve A and valve B, the answer would be 10 minutes as the second drains at half the rate of the first.
Damn that Dave and his diabolical teacher friends ![]() |
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#19 | |
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I promise to stay alive
Join Date: Jan 2006
Location: Glendale
Posts: 5,014
Adopt-a-Bronco: CassiusVAAAUGHN |
Quote:
carry on class |
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#20 | |
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Orange
Join Date: Dec 2005
Location: Bend, OR
Posts: 8,038
Adopt-a-Bronco: dortoh |
Quote:
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#21 | |
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Ring of Famer
Join Date: Apr 2006
Location: Denver
Posts: 3,040
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Quote:
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#22 | |
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Self Appointed Expert
Join Date: Aug 2003
Posts: 25,136
Adopt-a-Bronco: Miss I |
Quote:
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#23 |
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Orange
Join Date: Dec 2005
Location: Bend, OR
Posts: 8,038
Adopt-a-Bronco: dortoh |
x=rate
y=time x/15+x/30+x/45=y I believe that would be your equation. |
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#24 | |
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Lost In Space
Join Date: Apr 2004
Location: DC
Posts: 19,080
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Quote:
Wrong answer, didn't your Greenpeace friends teach you anything. The answer is "Opening the values would release harmful stuff that would harm Mother Earth. Are you some kinda killer, you evil math teacher?" PS- I can give you the differential equations for flow but I don't think that what they are learning in 6th. |
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#25 |
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Self Appointed Expert
Join Date: Aug 2003
Posts: 25,136
Adopt-a-Bronco: Miss I |
Also unless you have 3 people or 3 hands the answer may change depending on which valve you open first and how long it takes you to open each of the two.
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