SOLUTION: (a) A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the tank? (b) Before the pa

Algebra ->  Rate-of-work-word-problems -> SOLUTION: (a) A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the tank? (b) Before the pa      Log On


   

Question 1169485: (a) A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the tank?

(b) Before the pandemic, Ana can sanitize their room in 45 minutes and Clair can do the same work in 30 minutes. How long it take them to finish the same work if they work together?
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.


            Part  (a)  solution. 


Their combined rate of filling is  1%2F2 - 1%2F4 = 1%2F4  of the tank volume per hour.


Therefore, the process will take 4 hours.

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


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.


. . . . . .

Regarding part (b), what happened with them at the pandemic time ?

Hope they are safe . . .



Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in
4 hours.
The intake pipe puts liquid in twice as fast as the outlet pipe takes liquid
out.  So when both pipes are opened, in 2 hours it'll be half full, so it'll
be full in 4 hours.

Edwin