SOLUTION: The question is: Water is flowing from Tank 1 to Tank 2. Tank 1 had 1540 gallons in it and Tank 2 had 236 gallons. Water drains out of Tank 1 at 6 gallons a minute into Tank 2. Fin

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The question is: Water is flowing from Tank 1 to Tank 2. Tank 1 had 1540 gallons in it and Tank 2 had 236 gallons. Water drains out of Tank 1 at 6 gallons a minute into Tank 2. Fin      Log On


   

Question 1008837: The question is: Water is flowing from Tank 1 to Tank 2. Tank 1 had 1540 gallons in it and Tank 2 had 236 gallons. Water drains out of Tank 1 at 6 gallons a minute into Tank 2. Find out how long it takes to the nearest minute for the two tanks to have the same number of gallons. Will it take longer or shorter than 2 hours? Justify.
PLEASE HELP!!! I'm being overloaded with homework this whole week because of upcoming semester finals and I can't think straight right now! Thank you in advance for who ever that answers this question! :)
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How many gallons flow from tank 1 into tank 2 so that the volumes of water in each tank are equal?

v for the volume out from tank 1 and added to tank 2.
1540-v=236%2Bv
1540-v-v=236
-2v=236-1540
-2v=-1304
v=1304%2F2
v=652
-
How much time? Uniform rates situation from here.
RT=V relates flow rate, time, volume.
Let t be the time in minutes.
%2816%2F1%29%28gallons%2Fminute%29%2At%28minutes%29=652%2Agallons

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Water is flowing from Tank 1 to Tank 2.
Tank 1 had 1540 gallons in it and Tank 2 had 236 gallons.
Water drains out of Tank 1 at 6 gallons a minute into Tank 2.
Find out how long it takes to the nearest minute for the two tanks to have the same number of gallons.
:
not hard if you think about it like this
:
let t = no. of minutes for this to be true
:
1540 - 6t = 236 + 6t
1540 - 236 = 6t + 6t
1304 = 12t
t = 1304/12
t = 108.67 ~ 109 minutes
:
6*109 = 654 gal in 109 minutes
:
Confirm this by finding the actual amt each tank will after 109 min
1540 - 654 = 886 gal
236 + 654 = 890 gal a little difference because we rounded it off
:
Will it take longer or shorter than 2 hours? Justify
less than 2 hrs (120 min) obviously