
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
Pool \( A \) and \( B \) are both rectangular cuboids with a length of 3 meters, a width of 2 meters, and a depth of 1.2 meters. Valve 1 is used to fill Pool \( A \), and it takes 18 minutes to fill it from empty. Valve 2 is used to transfer water from Pool \( A \) to Pool \( B \), and it takes 24 minutes to transfer a full pool of water from \( A \) to \( B \). If both Valve 1 and Valve 2 are opened simultaneously, determine the volume of water in Pool \( B \) when Pool \( A \) has a water depth of 0.4 meters.

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