SOLUTION: An inlet pipe can fill a swimming pool in 12 hours whereas a drain pipe can empty the pool in 36 hours. How long will it take to fill the empty pool halfway if one inlet and two dr

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An inlet pipe can fill a swimming pool in 12 hours whereas a drain pipe can empty the pool in 36 hours. How long will it take to fill the empty pool halfway if one inlet and two dr      Log On


   



Question 887794: An inlet pipe can fill a swimming pool in 12 hours whereas a drain pipe can empty the pool in 36 hours. How long will it take to fill the empty pool halfway if one inlet and two drain pipes are operating at the same time?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An inlet pipe can fill a swimming pool in 12 hours whereas a drain pipe can empty the pool in 36 hours.
How long will it take to fill the empty pool halfway if one inlet and two drain pipes are operating at the same time?
:
let t = time to fill the pool half-way
let a full pool = 1, then half full pool = 1/2
:
Fill is +, drain is -
t%2F12 - t%2F36 - t%2F36 = 1%2F2
multiply equation by 36, canceling the denominators, results:
3t - t - t = 18
t = 18 hrs to fill pool half way