
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
Xiaohua and Xiaozhang are running at a constant speed on a circular track. They start at the same place and time, with Xiaohua running clockwise and taking 72 seconds to complete one lap, and Xiaozhang running counterclockwise and taking 80 seconds to complete one lap. Given that there is a quarter arc section of the track starting from the initial point, for how many seconds are they both in this designated section simultaneously?

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