SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 22 hours. The drain pipe can be used to empty the pool in 33 hours. If the pool is 13 filled and then the inlet pip

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 22 hours. The drain pipe can be used to empty the pool in 33 hours. If the pool is 13 filled and then the inlet pip      Log On


   

Question 1053605: An inlet pipe on a swimming pool can be used to fill the pool in 22 hours. The drain pipe can be used to empty the pool in 33 hours. If the pool is 13 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
In one hour 1/22 of the pool can be filled and 1/33 of it can be emptied.
Every hour, then (1/22)-(1/33) of the pool is filled, or (33-22)/726=11/726, or 1/66 of the pool.
2/3 more of the pool needs to be filled.
This is (2/3)/1/66)=(132/3)=44 hours.

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
For more solved problems of this type see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".