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Brazen Lion

I am a brazen lion; my spouts are my two eyes, my mouth, and the flat of my right foot.  My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.  My mouth is capable of filling it in 6 hours.  Tell me how long all 4 together will take to fill it.  [Note: in the context of this problem, "day" refers only to 12 hours of daylight, not a full 24 hours.]

Greek Anthology, Metrodorus, c. 500

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"Brazen Lion," Convergence (December 2011)