SOLUTION: A tank has two pipes. One pipe that can fill it with water in three hours and another pipe that can empty it in six hours. If both pipes are open, how long will it take to fill th

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A tank has two pipes. One pipe that can fill it with water in three hours and another pipe that can empty it in six hours. If both pipes are open, how long will it take to fill th      Log On


   



Question 1115468: A tank has two pipes. One pipe that can fill it with water in three hours and another pipe that can empty it in six
hours. If both pipes are open, how long will it take to fill the empty tank?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Rates, 1%2F3-1%2F6 tanks per hour

2%2F6-1%2F6=1%2F6, tanks per HOUR.

This is 6 hour to FILL the 1 tank.

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
First pipe fills  1%2F3  of the tank volume per hour.


Second pipe drains  1%2F6  of the tank volume per hour.


The net inflow is the positive difference  1%2F3 - 1%2F6 = 1%2F6  of the tank volume per hour.


Hence, it will take  6 hours to fill the tank if both pipes are open.

Solved.

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It is a typical and standard 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


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.