
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
If two pipes are opened simultaneously, the pool will be filled in 2 hours and 24 minutes. In reality, first, only the first pipe was opened for 1/4 of the time needed by the second pipe to fill the pool on its own. Then the second pipe operated for 1/4 of the time needed by the first pipe to fill the pool on its own, after which it turned out that 11/24 of the pool remained to be filled. How much time is required for each pipe to fill the pool individually?

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