The Math Beast Challenge Problem of the Week – August 20th, 2012
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Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
The volume of a chemical solution in a tank is described by the formula
, where k is a constant, T is the temperature, c is the concentration of the chemical solution, and p is the atmospheric pressure. The solution in the tank can be either hot or cold. When hot, c is half of what it is when cold, p is double what it is when cold, and T is triple what it is when cold.
If the tank can be no more than
full when hot for safety reasons, what is the maximum fraction of capacity to which the tank can be filled when the solution is cold?
, where k is a constant, T is the temperature, c is the concentration of the chemical solution, and p is the atmospheric pressure. The solution in the tank can be either hot or cold. When hot, c is half of what it is when cold, p is double what it is when cold, and T is triple what it is when cold.
full when hot for safety reasons, what is the maximum fraction of capacity to which the tank can be filled when the solution is cold?
See the answer choices and submit your pick over on our Challenge Problem page.