SOLUTION: In a water tank, Faucet A can fill up the tank in 10 minutes, Faucet B can fill up the tank in 15 minutes, and Drain C can empty a full tank in 30 minutes. If Faucet A, Faucet B,

Question 1162692: In a water tank, Faucet A can fill up the tank in 10 minutes, Faucet B can fill up the tank in 15 minutes, and Drain C can empty a full tank in 30 minutes. If Faucet A, Faucet B, and Drain C are all open and operating at
100%, would the tank overflow? If so, how long would it take to fill the tank before it overflows
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


The combined rate of work of the three faucets is  


     =  =  =   of the tank volume per minute.


Therefore, the time to fill the tank with 3 faucets working together is 5 minutes.    ANSWER

Solved.

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It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site. 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
    - Joint-work problems for 3 participants

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".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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