SOLUTION: A tank can be filled from the faucet in 8 hours. It takes only 6 hours to empty the tank when the drain is open. If the tank is full and both the faucet and drain are open, how l

Algebra ->  Expressions -> SOLUTION: A tank can be filled from the faucet in 8 hours. It takes only 6 hours to empty the tank when the drain is open. If the tank is full and both the faucet and drain are open, how l      Log On


   



Question 225594: A tank can be filled from the faucet in 8 hours. It takes only 6 hours to empty the tank when the drain is open. If the tank is full and both the faucet and drain are open, how long will it take to empty the tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A tank can be filled from the faucet in 8 hours.
It takes only 6 hours to empty the tank when the drain is open.
If the tank is full and both the faucet and drain are open, how long will it take to empty the tank?
:
Let t = time required for this happen
:
Let the completed job = 1; (an empty tank)
:
t%2F6 - t%2F8 = 1
Multiply equation by 24, results:
4t - 3t = 24
t = 24 hrs to run the tank empty
;
;
Check solution:
24%2F6 - 24%2F8 = 1
4 - 3 = 1