SOLUTION: The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?       Log On


   

Question 187064: The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?
In the pool problem above how long would it take to fill the pool if the drain, which could drain the pool in 15 hours, is left open?
I have the first part figured out but I am struggling with the second part. If you could just set up the table for me that would be great! Thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?
;
Let t = time required when two hoses and a pump are used
Let full pool = 1
:
%282t%29%2F30 + t%2F10 = 1
;
In the pool problem above how long would it take to fill the pool if the drain, which could drain the pool in 15 hours, is left open?
:
Same thing but subtract for the drain
%282t%29%2F30 + t%2F10 - t%2F15= 1