
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
Pat and Mat went on a trip. They set off after eight in the morning, at a time when the hour and minute hands on Pat's watch were pointing in exactly opposite directions. When they returned before noon, the hands on Pat's watch were again pointing in exactly opposite directions. Mat measured the duration of the trip with a stopwatch. Determine, with an accuracy of seconds, how long the trip lasted. Assume that both Pat's watch and Mat's stopwatch were accurate.

(M. Volfová)

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