SOLUTION: when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a ful

Algebra ->  Rate-of-work-word-problems -> SOLUTION: when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a ful      Log On


   

Question 1125846: when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a full pool.How long does it take to fill the leaky pool？
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F12 POOL per MINUTE for filling

-1%2F8 POOL per MINUTE for emptying

How long does it take to fill the pool?
Effective rate 1%2F12-1%2F8
2%2F24-3%2F24
-1%2F24-------this means the pool will drain to empty in 24 minutes if the pool were started full, and then hose opened fully.

How long to fill?
Never happens.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a full pool.How long does it take to fill the leaky pool？
If it leaks out in less time (8 mins) than it fills (12 mins), then it'll never be filled. 

In other words, it has to take a longer time to leak than to fill in order to be full at some point in time!