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A 2000 liter tank containing 550 liter of water is being filled with water at the rate of 75 liter per minute from a full 1600 liter tank. How lon will it be before the two tanks have the same amount of water?
 Oct 3, 2012
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HateMath!:

containing 550 liter of water is being filled with water at the rate of 75 liter per minute


550L+x*75L/min = 550+x*75

HateMath!:

75 liter per minute from a full 1600 liter tank


1600L-75L/min = 1600-x*75

HateMath!:

How lon will it be before the two tanks have the same amount of water?


[input]550+x*75 = 1600-x*75[/input]

[input]plot( 550+x*75, 1600-x*75, x=0..10)[/input]

550+x*75 = 1600-x*75 |-1600
550+x*75 -1600 = 1600-x*75-1600
-1050+x*75 = -x*75 | +x*75
-1050+x*75+x*75 = 0 | +1050
2*(x*75) = 1050 | /2
x*75 = 525 | / 75
x = 525 / 75
x = 7
 Oct 3, 2012

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