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Home » A tank is filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. If both pipes are opened simultaneously, how long will it take to fill the tank? - AMAZONAWS

A tank is filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. If both pipes are opened simultaneously, how long will it take to fill the tank? - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
A tank is filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. If both pipes are opened simultaneously, how long will it take to fill the tank?

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📌 Solution: We are to minimize $ rac{1}{a} + rac{1}{b} + rac{1}{c} $ under the constraint $ a + b + c = 1 $ with $ a, b, c > 0 $.
📌 h_b = \frac{2A}{b} = \frac{2 \times 84}{14} = 12
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