
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
A train station starts to form a queue several minutes before checking tickets. The number of people in the queue increases at a certain rate. If one ticket window is opened, it takes 40 minutes for the queue at the ticket window to disappear. If two ticket windows are opened simultaneously, the queue disappears in 16 minutes. Assuming the speed of checking tickets is constant, how long will it take for the queue to disappear if three ticket windows are opened simultaneously?

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