
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
There are three identical water pools: Pool A, Pool B, and Pool C. A Type-A fountain fills Pool A, a Type-B fountain fills Pool B, and both Type-A and Type-B fountains together fill Pool C. It is known that filling Pool B takes 4 hours longer than filling Pool C, and filling Pool A takes 5 hours longer than filling Pool B. How many hours are needed to fill two-thirds of Pool C?

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