
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
Two identical pools started filling with water at the same time. The first pool gets 30 cubic meters more water per hour than the second pool. At a certain moment, the total amount of water in both pools was equal to the volume of each pool. After that moment, the first pool filled up in 2 hours and 40 minutes, and the second pool filled up 3 hours and 20 minutes later. How much water was delivered to each pool per hour?

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