SOLUTION: a tank has a pipe that can fill it when open in one hour. it also has a drain pipe that can empty it. in one and a half hours if the tank is empty and both pipes are open how lon

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a tank has a pipe that can fill it when open in one hour. it also has a drain pipe that can empty it. in one and a half hours if the tank is empty and both pipes are open how lon      Log On


   



Question 324856: a tank has a pipe that can fill it when open in one hour. it also has a drain pipe that can empty it. in one and a half hours if the tank is empty and both pipes are open how long will it take to fill the tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a tank has a pipe that can fill it when open in one hour.
it also has a drain pipe that can empty it in one and a half hours
if the tank is empty and both pipes are open how long will it take to fill the tank?
:
Let t = time required to fill the tank with both pipe open
Let the completed job = 1 (a full tank)
:
t%2F1 - t%2F1.5 = 1
multiply by 1.5
1.5t - t = 1.5
.5t = 1.5
t = 1.5%2F.5
t = 3 hrs to fill with both pipes open