
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
Petya's watch rushes ahead by 5 minutes per hour, while Masha's watch lags behind by 8 minutes per hour. At 12:00, they both set their watches according to the school clock (which is accurate) and agreed to go to the skating rink together at half past six. How long will Petya wait for Masha, if each arrives at the skating rink exactly at 18:30 according to their own watches?

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