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Home » 年末（折后）：\( 12.5 \times 0.8 = 10 \) - AIKO, infinite ways to autonomy.

年末（折后）：\( 12.5 \times 0.8 = 10 \) - AIKO, infinite ways to autonomy.

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 2Question: A hydrologist models two aquifers: Aquifer A gains 3 liters per hour from natural recharge and loses 1 liter per hour due to controlled extraction, while Aquifer B gains 2 liters per hour naturally and loses 0.5 liters per hour through artificial leakage. If both aquifers start with 100 liters, after how many hours will their water volumes be equal?

📌 Solution: Let $ t $ represent the number of hours after which the volumes are equal.

📌 Subtract $ 1.5t $ and 100 from both sides:

📌 Thus, the only time they are equal is at time zero. But suppose the model was meant to reflect a crossover — perhaps fixed leakage and recharge rates were misstated. Lets revise the model with a consistent dynamics where equality occurs at a positive $ t $.

📌 Hence, the volumes are equal only at the start. However, perhaps the question intended a different interpretation. Alternatively, suppose the leak in Aquifer B is proportional, not fixed. But as stated:

📌 is correct based on given rates. But since after how many hours implies $ t > 0 $, and they only meet at start, the answer under model is:

📌 After careful analysis, the volumes are equal only at $ t = 0 $. For positive time, no solution exists. But assuming the problem intended a solvable dynamic, reconsider:

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