Question 1060806
.
An Inlet pipe an oil tank in 10 days and a 2nd Inlet pipe can fill the same tank in 12 days. 
If both pipes are used how long will it take to fill the tank?
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<pre>
Since the first pipe fills the tank in 10 days, it actually fills {{{1/10}}} of the tank volume per day.

Since the second pipe fills the tank in 12 days, it fills {{{1/12}}} of the tank volume per day.

When both pipes work together, they fill {{{1/10+1/12}}} of the tank volume per day.

{{{1/10+1/12}}} = {{{6/60 + 5/60}}} = {{{11/60}}}.

Hence, it will take {{{60/11}}} = {{{5}}} {{{5/11}}} days for both pipes to fill the tank.

<U>Answer</U>. Two pipes working together will fill the tank in {{{5}}} {{{5/11}}} days.
</pre>

It is a typical word problem on joint work.


For a wide variety of similar solved joint-work problems with detailed explanations see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using Fractions to solve word problems on joint work</A>,

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson>Solving more complicated word problems on joint work</A>,

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson>Selected joint-work word problems from the archive</A> 

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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the topic "<U>Rate of work and joint work problems</U>" of the section "<U>Word problems</U>".