Question 1055492
.
A  tank has three pipes connected. The first, by itself, could fill the tank in 2 1/2 hr , the second in 2h  , 
and the third in 1hr and 40 min . In how many minutes will the tank be filled?
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<pre>
1.  {{{2}}} {{{1/2}}} h = 150 minutes.

    2 hours = 120 minutes.

    1 hour 40 minutes = 100 minutes.


2.  1-st pipe fills {{{1/150}}} of the tank volume per minute.

    2-nd pipe fills {{{1/120}}} of the tank volume per minute.

    3-rd pipe fills {{{1/100}}} of the tank volume per minute.


3.  The three pipes fill  {{{1/150 + 1/120 + 1/100}}} = {{{4/600 + 5/600 + 1/600}}} = {{{10/600}}} = {{{1/60}}} of the tank volume per minute.


4.  Hence, it will take 60 minutes = 1 hour for the three pipes to fill the tank.
</pre>

Solved.


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