Lex Luthοr has trapped Suρerman and Baτman in a 100-gallon tank, which is half-full of water and which contains 20 grams of dissolved kryptοnite. (This, of course, renders Suρerman powerless.)it seemed to go over well, with the class. after all, who doesn't love a hero?

As part of his evil plan, Luthοr plans to drown the heroes by flowing pure water into the tank at a rate of 5 gallons per minute.

Resourceful as always, Baτman opens a drain (somehow overlooked by Luthοr) at the tank's bottom, causing liquid solution to escape at a rate of 3 gallons per minute.

Assume that Suρerman regains his powers at kryptοnite concentrations of 0.05 grams per gallon or lower (and can summarily break out of the tank with super-strength). Will the heroes escape in time?

[1]

*in lecture, i might have spoken this formulation, but not written it all out.*

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[2*]

*this post was reformated on 2 feb 2013, due to issues of typesetting. among other things, i used to use the symbol ${\$}$ to replace the letter*

**s**to make this blog less searchable, but this interferes with the mathjax/$\LaTeX$ rendering now present.
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