SOLUTION: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 103672: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?
Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
You can put this solution on YOUR website!
a tank can be normally filled in 10 hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?
:
Let t = time for the leak to empty the tank
:
Let the full tank = 1
:
Positive is filling and negative is leaking
:
12%2F10 - 12%2Fx = 1
:
Multiply equation by 10x to get rid of the denominators
10x(12%2F10) - 10x(12%2Fx) = 10x*1
:
12x - 10(12) = 10x
:
12x - 120 = 10x
:
12x - 10x = + 120
:
2x = 120
:
x = 120/2
:
x = 60 hrs for leak to empty the full tank
:
:
Check our solution on a calc:
12%2F10 - 12%2F60 =
1.2 - .2 = 1
:
Did this make sense to you?