Math geeks all hands on deck!

[Ariel82]

 

[iTOREtheSKY]

I'll let you fight over which Jim is which.

 

[wisebeardman]

I will say when I 1st seen this thread... I thought it said Meth geeks... what is this I don't even...

 

[todo]

Well, the problem does say, "one pool."

yes but the problem said "You have one faucet that fills up a pool in 24 hours. You have second faucet that fills up a pool in 8 hours. If you run both faucets in one pool, how long does it take to fill up the pool?" it is possible that up to thee pools are used (1) the pool that took 24 hrs to fill with the first faucet, (2) the pool that took 8 hrs to fill, and (3) the "one pool" they are both used to fill.

 

[DuchessAimee]

I like math; specifically, I like mathematical theory. But this is what I think of this thread...

 

[BananaPie]

...it is possible that up to thee pools are used
(1) the pool that took 24 hrs to fill with the first faucet,
(2) the pool that took 8 hrs to fill, and
(3) the "one pool" they are both used to fill.

Well, have you considered that math requires correct logic sequencing?

Why would the same faucet pour into more than one pool? That would imply that either the faucet is movable (or at least rotates), or the pool is movable, or 2 pools are next to each other with 1 rotatable faucet between them. This is somewhat illogical or unlikely to occur.

Furthermore, why would 2 faucets be pouring into a third pool when each faucet fills a pool of its own already? Now you're talking 3 pools in a row (maybe?) with faucets in between them. See how the premise of multiple pools starts to get illogical?

At any rate, differential equations would handle multiple faucets with multiple pools, but that kind of math is beyond the scope of this thread.

 

[violakat]

i did it slightly different, because it's a lot simpler to do it this way in my head.

oh, and i'm not a cool math geek.

rate of hourly flow of faucet 1: 1/24 = .04
rate of flow hourly flow of faucet 2: faucet 1 x 3 = .12

combined rate of hourly flow =.16

1 / .1 6= ~6.2 hours

I did something similar.

 

[cinder]

Oh the crazy movie memories you guys can bring up:

[video=youtube_share;pXtFSE7VlL0]http://youtu.be/pXtFSE7VlL0?t=37s[/video]

 

[MidniteWelder]

i'mm TireD SO I'll just try it real quick.

The ratio between one pump to another is a factor of 3 (24/8)
3 out of a whole is 3/4
therefore the combined time taken to fill the pool will decrease by 3/4 of the shortest original time of just the one
3/4 of 8 hrs =
6hrs