
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 artist and her two apprentices worked at constant but different rates. Their workday begins at 9:00 AM and involves a shared lunch break. On Monday, the three completed 60% of a mural by 5:00 PM. On Tuesday, without the artist, the apprentices completed another 30% of the mural, hanging up their brushes at 3:30 PM. On Wednesday, the artist, working alone, finished the mural by working until 8:00 PM. Determine the length of the daily lunch break.

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