View Full Version : math help
bosoxfan
03-24-2005, 02:56 PM
with no regard for how stupid this will make me look.
Pump A can fill a tank in 5 hours
Pump B can fillthe same tank in 4 hours
If both pumps run together how long will it take to fill the tank?
What is the formula to solve this?
jstnrgrs
03-24-2005, 02:59 PM
You are stupid. Obviously 9 hours.
Isura
03-24-2005, 02:59 PM
Need more information. Do the pumps fill the tanks at a constant rate? If so, this problem is pretty easy. Do you see why?
Isura
03-24-2005, 03:00 PM
[ QUOTE ]
You are stupid. Obviously 9 hours.
[/ QUOTE ]
I hope you are joking.
Huskiez
03-24-2005, 03:01 PM
Pump A fills 1 tank per 5 hours, or 1/5 tank per hour.
Pump B fills 1 tank per 4 hours, or 1/4 tank per hour.
Pump A and B together fill (1/5 + 1/4) = 9/20 tank per hour.
You need to fill one tank.
1 tank * 20 hours / 9 tanks = 20/9 hours.
jason_t
03-24-2005, 03:02 PM
[ QUOTE ]
[ QUOTE ]
You are stupid. Obviously 9 hours.
[/ QUOTE ]
I hope you are joking.
[/ QUOTE ]
mostsmooth
03-24-2005, 03:02 PM
pump a fills 1/5 the tank per hour
pump b fills 1/4 the tank per hour
together they would fill 9/20 the tank per hour
to fill the tank together would be 20/9 hours
/images/graemlins/cool.gif
bosoxfan
03-24-2005, 03:02 PM
yes.
i'm not really looking for the answer but the formula to get the answer. i figured it was easy and yet i still don't know.
jstnrgrs
03-24-2005, 03:03 PM
Pump A fills at a rate of .2 tank/hour.
Pump B fills at a rate of .25 tank/hour.
Together they fill at a rate of .45 tank/hour.
rate x time = distance.
time = 1tank / .45t/h = 2.2222222222hours.
rate(a) + rate(b)=rate(combined).
BillNye
03-24-2005, 03:04 PM
[ QUOTE ]
Pump A fills at a rate of .2 tank/hour.
Pump B fills at a rate of .25 tank/hour.
Together they fill at a rate of .45 tank/hour.
rate x time = distance.
time = 1tank / .45t/h = 2.2222222222hours.
[/ QUOTE ]
You Suck!
Gamblor
03-24-2005, 03:05 PM
Here's the rationale:
Let x be the number of hours it takes for the tank to fill given a rate of flow of the water from pump a. Rate of flow for pump a = 1/5 tank an hour. For pump b, 1/4 tank an hour.
Thus, 1 = x(a) When a = 1/5, x = 5.
So 1 = x(1/5 + 1/4) = x(4/20 + 5/20) = 9x/20
1 = 9x/20
20 = 9x
x = 20/9 hrs.
The tank will fill in 20/9 or 2 2/9 hours.
istewart
03-24-2005, 03:05 PM
STOP
SAYING
DO YOU SEE WHY
jason_t
03-24-2005, 03:05 PM
[ QUOTE ]
with no regard for how stupid this will make me look.
Pump A can fill a tank in 5 hours
Pump B can fillthe same tank in 4 hours
If both pumps run together how long will it take to fill the tank?
What is the formula to solve this?
[/ QUOTE ]
As someone who frequently teaches math, I would rather guide you towards a correct solution rather than just give you the answer.
Questions:
1. How much of the tank does pump A fill in one hour?
2. How much of the tank does pump B fill in one hour?
3. How much of the tank do pump A and pump B fill in one hour? (Having answered 1. and 2., you can answer this question.)
4. How loes does it tank for the pumps to jointly fill the tank?
bosoxfan
03-24-2005, 03:05 PM
thank you
Gamblor
03-24-2005, 03:06 PM
good god oot is fast.
we're all big nerds, by the way.
jstnrgrs
03-24-2005, 03:07 PM
[ QUOTE ]
You Suck!
[/ QUOTE ]
I don't see why. If I had said:
[ QUOTE ]
Pump A fills at a rate of .2 tank/hour.
Pump B fills at a rate of .25 tank/hour.
Together they fill at a rate of .45 tank/hour.
rate x time = distance.
time = 1tank / .45t/h = 2.2222222222hours
pwned
[/ QUOTE ]
then your statement might be justified.
bosoxfan
03-24-2005, 03:07 PM
[ QUOTE ]
As someone who frequently teaches math, I would rather guide you towards a correct solution rather than just give you the answer.
Questions:
1. How much of the tank does pump A fill in one hour?
2. How much of the tank does pump B fill in one hour?
3. How much of the tank do pump A and pump B fill in one hour? (Having answered 1. and 2., you can answer this question.)
4. How loes does it tank for the pumps to jointly fill the tank?
[/ QUOTE ]
I must remind you of the dim student who sits in the back of class. /images/graemlins/blush.gif
istewart
03-24-2005, 03:08 PM
jason_t = wannabe mathematician /images/graemlins/wink.gif
chaas4747
03-24-2005, 03:09 PM
I know there are many ways to skin a cat. But I think the formula that I learned for this is
(A * B)/(A + B) = x
You would still get 20/9 so it is all a wash.
BillNye
03-24-2005, 03:12 PM
[ QUOTE ]
[ QUOTE ]
You Suck!
[/ QUOTE ]
I don't see why. If I had said:
[ QUOTE ]
Pump A fills at a rate of .2 tank/hour.
Pump B fills at a rate of .25 tank/hour.
Together they fill at a rate of .45 tank/hour.
rate x time = distance.
time = 1tank / .45t/h = 2.2222222222hours
pwned
[/ QUOTE ]
then your statement might be justified.
[/ QUOTE ]
and what was justified about my statement that got "you sucked"?
jstnrgrs
03-24-2005, 03:13 PM
But do you know why that formula works? That's what's important.
chaas4747
03-24-2005, 03:14 PM
Only if you work at a gas station!
jakethebake
03-24-2005, 03:14 PM
you're surfing on your phone while taking the SATs right now aren't you? /images/graemlins/grin.gif
dtbog
03-24-2005, 03:16 PM
I like your line.. but I might checkraise the turn here. You want to get that extra bet.
-DB
jstnrgrs
03-24-2005, 03:16 PM
I just did a quick search of my posts over the last few days, and as far as I can tell, I never posted "You Suck!" in response to one of your posts.
housenuts
03-24-2005, 03:18 PM
5^2 (25) + 4^2 (16) = 41. subtract 1 because they are only trying to fill one tank. = 40. divide by 2 because the pumps will be acting together to fill a tank. = 20 hours.
5^2 (25) - 4^2 (16) = 9 tanks
20 hours per 9 tanks
or 2.2222222 hours per tank
bosoxfan
03-24-2005, 04:29 PM
yes, i get why that works thanks again.
bosoxfan
03-24-2005, 04:31 PM
[ QUOTE ]
you're surfing on your phone while taking the SATs right now aren't you?
[/ QUOTE ]
nice
[ QUOTE ]
Need more information. Do the pumps fill the tanks at a constant rate? If so, this problem is pretty easy. Do you see why?
[/ QUOTE ]
If he saw why, he wouldn't be asking the question, douche.
jason_t
03-24-2005, 05:52 PM
[ QUOTE ]
I must remind you of the dim student who sits in the back of class. /images/graemlins/blush.gif
[/ QUOTE ]
That's me in the back of my graduate classes.
JaBlue
03-24-2005, 05:55 PM
good luck with that new SAT!
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