
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 10 identical pools and two hoses with different flow rates. It is known that the first hose fills a pool 5 times faster than the second hose. Petya and Vasya started filling 5 pools each, Petya using the first hose and Vasya the second. It is known that Petya finished an hour earlier. How long did it take Vasya to fill his 5 pools?

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