SOLUTION: sam is filling his swimming pool. the fill pipe for a swimming pool can fill the pool in 2 hours, and the drain pipe can drain it in 3 hours. Sam accidentally leaves both pipes ope

Algebra ->  Rate-of-work-word-problems -> SOLUTION: sam is filling his swimming pool. the fill pipe for a swimming pool can fill the pool in 2 hours, and the drain pipe can drain it in 3 hours. Sam accidentally leaves both pipes ope      Log On


   



Question 650084: sam is filling his swimming pool. the fill pipe for a swimming pool can fill the pool in 2 hours, and the drain pipe can drain it in 3 hours. Sam accidentally leaves both pipes open. How long will it take to fill the swimming pool
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
sam is filling his swimming pool. the fill pipe for a swimming pool can fill the pool in 2 hours, and the drain pipe can drain it in 3 hours. Sam accidentally leaves both pipes open. How long will it take to fill the swimming pool
.
Let x = time (hours) to fill pool
then
x(1/2 - 1/3) = 1
multiplying both sides by 6:
x(3 - 2) = 6
x(1) = 6
x = 6 hours