I think it is ok. There are four unknowns, A, B, C, and V but you can get A in terms of V and so on.
The duration of each channel I and channel II fulfill the tub ....
ie. How long will it take to fill the tub using A on its own. So the time will drop out without any 'V' in the answer.
Bob
]]>Hi Monox D. I-Fly;
Bob's formulation of the problem will pop up if you just would set the problem up as a specific example. The set of equations is underdetermined, meaning it has fewer equations than unknowns. You will not get a unique answer but rather a set of possible solutions.
]]>Monox D. I-Fly: I would do this as follows:
Let channel I fill at a rate of A units per minute; channel II at B units per minute; and channel III empty at C units per minute. Let the tub contain V uniits.
Then we have
(A+B-C) x 80 = V and two more similar equations for you to work out. Use these to find A, B and C in terms of V.
Bob
]]>What does fulfill mean here?
]]>Well, I don't know where to start. But if channel I and II together (without channel III being open) fulfill the tub in 1 hour and 12 minutes, does it mean that channel III can empty the tub just within 8 minutes (because 01.20 - 01.12)?
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