
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A school has a water storage tank that is continuously filled with water at a constant flow rate (i.e., the volume of water flowing into the tank per unit of time is the same). Currently, there is a certain depth of water in the tank, and three identical taps are installed. If one tap is opened, it would take exactly 9 hours to empty the tank. If two taps are opened at the same time, it would take exactly 3 hours to empty the tank. The question is, how long would it take to empty the tank if all three taps are opened at the same time?

Present the answer in LaTex format: \boxed{Your answer}
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