This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
09:00h
Step 1: Understand the doubling rate. The amount of water in the tank doubles every hour.
Step 2: Work backward from the full state. At 11:00h, the tank was full. Let the full volume be . One hour before 11:00h, at 10:00h, the tank must have been half full, because it doubled to become full by 11:00h. So, at 10:00h, the volume was .
Step 3: Continue working backward to find when it was a quarter full. One hour before 10:00h, at 09:00h, the tank must have been a quarter full, because it doubled to become half full by 10:00h. So, at 09:00h, the volume was .
The tank was a quarter full at 09:00h.
Comparing this with the given options: A 08:00h B 09:00h C 09:30h D 10:00h E 10:15h
The correct option is B.
The final answer is .
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Understand the doubling rate. The amount of water in the tank doubles every hour.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.