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?

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(22740) (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
:
- = 1
:
Multiply equation by 10x to get rid of the denominators
10x() - 10x() = 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:
- =
1.2 - .2 = 1
:
Did this make sense to you?

RELATED QUESTIONS
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3... (answered by josgarithmetic,lwsshak3)

a tank is filled with 2 pipes. the first pipe can fill the tank in 10 hours. But after it (answered by ankor@dixie-net.com)

One pipe can fill a tank in 3 hours. With a second pipe also in operation the tank can be (answered by lwsshak3)

One pump can fill a gasoline tank in 10 hours. With a second pump working simultaneously, (answered by nyc_function,richwmiller)

One pump can fill a gasoline tank in 9 hours. With a second pump working simutaneously... (answered by ankor@dixie-net.com)

One can fill a tank in 4 hours. Together with a second pipe, the tank can be filled in 3... (answered by nerdybill,stanbon)

One pump can fill a gas tank in 8 hours. With a second pump working simultaneously, the... (answered by ikleyn,greenestamps)

A tank is filled with 2 pipes. The first pipe can fill the tank in 10 hrs. But after it... (answered by josgarithmetic)

a tank can be filled in 18 hours by pipe A or in 24 hours by pipe B.how long would it... (answered by richwmiller)