Question 1044248
.
Tap X took 8 minutes to fill a tank completely .Tap Z took 12 minutes to fill the same tank completely.
If both taps are turned on at the same time to fill 5 such tank , how long will it take.
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<pre>
Tap X fills {{{1/8}}} of the tank's volume per minute.

Tap Y fills {{{1/12}}} of the tank's volume per minute.

Working together, the two taps fill {{{1/8 + 1/12}}} = {{{3/24 + 2/24}}} = {{{5/24}}} of the tank volume per minute working together.

It means that the two taps fill the tank in {{{24/5}}} minutes.

Hence, it will take {{{5*(24/5)}}} = 24 minutes to fill 5 tanks if both the taps are turned on.
</pre>

On joint work problems 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=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Using-quadr-eqns-to-solve-word-problems-on-joint-work.lesson>Using quadratic equations to solve 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.