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Old 05-11-2006, 03:52 PM   #1
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Default OT - Need a math wizard.

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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Old 05-11-2006, 03:57 PM   #2
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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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Old 05-11-2006, 04:01 PM   #3
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11.25 minutes using my "New Math" that I just invented.
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Old 05-11-2006, 04:02 PM   #4
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Not sure but I have to call the fuel company.
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Old 05-11-2006, 04:05 PM   #5
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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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Old 05-11-2006, 04:06 PM   #6
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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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Old 05-11-2006, 04:07 PM   #7
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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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Old 05-11-2006, 04:08 PM   #8
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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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Old 05-11-2006, 04:08 PM   #9
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Quote:
Originally Posted by watermock
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.
beat me to it .
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Old 05-11-2006, 04:09 PM   #10
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Quote:
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.
ok, that was idiotic. Let me try again.
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Old 05-11-2006, 04:11 PM   #11
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Wait it would prolly be less then 10 minutes.
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Old 05-11-2006, 04:15 PM   #12
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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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Old 05-11-2006, 04:15 PM   #13
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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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Old 05-11-2006, 04:16 PM   #14
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now i remember why math was never my strongpoint
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Old 05-11-2006, 04:17 PM   #15
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when in doubt, the answer is always 'C' or '2'...
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Old 05-11-2006, 04:17 PM   #16
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Quote:
Originally Posted by bronconia
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

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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Old 05-11-2006, 04:18 PM   #17
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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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Old 05-11-2006, 04:19 PM   #18
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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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Old 05-11-2006, 04:21 PM   #19
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Quote:
Originally Posted by smalltowngrll
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.
absolutely correct there! i was hoping for the "outside the box" lucky guess answer.

carry on class
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Old 05-11-2006, 04:24 PM   #20
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Quote:
Originally Posted by Big Guy
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
Are you looking for the algabraic equation?
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Old 05-11-2006, 04:25 PM   #21
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Quote:
Originally Posted by TheTrueOne
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.
If this were a real life application, you would have to know a lot more information. The rate of release would decrease as the pressure in the tank decreased. This problem would be a differential equation which = really **** hard math.
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Old 05-11-2006, 04:27 PM   #22
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Quote:
Originally Posted by TheTrueOne
If this were a real life application, you would have to know a lot more information. The rate of release would decrease as the pressure in the tank decreased. This problem would be a differential equation which = really **** hard math.
Thats what I said the actual answer can not be found.
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Old 05-11-2006, 04:28 PM   #23
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x=rate
y=time

x/15+x/30+x/45=y

I believe that would be your equation.
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Old 05-11-2006, 04:29 PM   #24
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Quote:
Originally Posted by Hotrod
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.

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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Old 05-11-2006, 04:30 PM   #25
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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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