
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 typhoon named "Whirlwind" formed at 8 PM on a certain day, at a point 400 kilometers south-southeast (at an angle of 60° to the south of east) from pier A at the port. It is expected that the eye of the typhoon will move north at a speed of 40 kilometers per hour. The area within 350 kilometers of the typhoon's center will be affected by the storm. Calculate the duration, in hours, for which pier A will be under the influence of the typhoon.

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