
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
The master and his apprentice were tasked with producing a batch of identical parts. After the master worked for 7 hours and the apprentice for 4 hours, it was found that they had completed $5 / 9$ of the total work. After working together for an additional 4 hours, they determined that $1 / 18$ of the work remained. How long would it take for the apprentice to complete the entire work if working alone?

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