SOLUTION: One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?      Log On


   

Question 120000This question is from textbook Beginning and Intermediate Algebra
: One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open? This question is from textbook Beginning and Intermediate Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(1 pool / 4 hrs) - (1 pool / 8 hrs) = 1 pool / x hrs
The rate of filling the pool minus the rate of emptying the pool
equals the rate of filling the pool
1%2F4+-+1%2F8+=+1%2Fx
1%2F8+=+1%2Fx
x+=+8hrs
It will take 8 hrs to fill the pool