SOLUTION: Water from a tank is being used for irrigation while the tank is being filled. The two inlet pipes can fill the tank in 6 h and 12 h, respectively. The outlet pipe can empty the ta

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Question 1056273: Water from a tank is being used for irrigation while the tank is being filled. The two inlet pipes can fill the tank in 6 h and 12 h, respectively. The outlet pipe can empty the tank in 24 h. How long would it take to fill the tank with all three pipes open? (Round your answer to one decimal place.)
Answer by ikleyn(52856)   (Show Source): You can put this solution on YOUR website!
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Water from a tank is being used for irrigation while the tank is being filled. The two inlet pipes can fill the tank in 6 h and 12 h,
respectively. The outlet pipe can empty the tank in 24 h. How long would it take to fill the tank with all three pipes open?
(Round your answer to one decimal place.)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First pipe fills  of the tank volume per hour.

The second pipe fills  of the tank volume per hour.

The third pipe empties  of the tank volume per hour.

When all three pipes turned on, they fill 

 =  = 

of the tank volume per hour.

Hence, it will take  =   hour = 4 hour 48 minutes to fill the tank if all three pipes are open and turned on.

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There is a wide variety of similar solved joint-work problems with detailed explanations in 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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