SOLUTION: An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tan

Algebra ->  Square-cubic-other-roots -> SOLUTION: An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tan      Log On


   



Question 379614: An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank overflows?
Thanks!

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank overflows?
.
Let x = time (minutes) it takes to fill tank
then
x(1/8 - 1/12) > 1
multiplying both sides by 96:
x(12 - 8) > 96
x(4) > 96
x > 24 minutes
That is, tank begins to overflow after 24 minutes