SOLUTION: An Olympic sized pool can be filled by pipe a in 18 hours and pipe b in 12 hours.there is also a drain pipe that drains the entire pool in 8 hours. if the values of pipe a and pipe

Question 1064590: An Olympic sized pool can be filled by pipe a in 18 hours and pipe b in 12 hours.there is also a drain pipe that drains the entire pool in 8 hours. if the values of pipe a and pipe b and the drain pipe are open how long will it take to fill the pool? round to the nearest tenth of an hour if necessary.
rate, time, fraction of job
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

The reciprocal of that is what the question asks for.

Time to FILL the pool using all pipes open, 72 hours.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

The pipe A fills of the pool volume per hour. The pipe B fills of the pool volume per hour. The pipe C drains of the pool volume per hour. When all 3 pipes work, they fill = of the pool volume per hour. Hence, it will take 72 hours to fill the pool if all 3 pipes are open.

For a wide variety of similar solved joint-work problems with detailed explanations 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".

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