Science:Math Exam Resources/Courses/MATH101/April 2011/Question 05 (c)
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Question 05 (c) 

BirdBath and Beyond Incorporated is famous for its Quetzal attracting birdfeeder solution made from water, honey and canesugar. To make their solution, both honey and a canesugar solution are poured into a 200 L mixing tank. The honey is poured in at a rate of 1 L per minute while the sugar solution is poured in at 9 L per minute. Note that 1 L of honey contains 1 kg of sugar, while the canesugar solution contains 100g of sugar per L. Unfortunately today there is a problem with the mixing tank. It was thoroughly cleaned and is initially filled with pure water, but main valve was broken and the water cannot be drained. When the mixing process is started, the honey and sugarsolutions are poured into the tank, and the excess fluid flows out of an emergency valve at 10 L per minute and onto the floor. You should assume that the solutions mix immediately and thoroughly in the tank. (c) The bird feeder solution can only be sold if there is at least 30 kg of sugar in the 200 L tank. If the flow of sugar solution and honey is switched off after 20 minutes, can the result be sold? 
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Hint 

Is S(20) larger than 30? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Pluggin in t=20 we obtain Remember that and hence That means that after 20 minutes there is less than 30kg of sugar in the tank. Thus the solution cannot be sold. 
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