
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
Two track athletes, one male and one female, are practicing running on a 110-meter slope (with the top of the slope as point $A$ and the bottom as point $B$). Both athletes start running from point $A$ at the same time and continuously run back and forth between points $A$ and $B$. The male athlete's uphill speed is 3 meters per second and downhill speed is 5 meters per second; the female athlete's uphill speed is 2 meters per second and downhill speed is 3 meters per second. The question asks for the distance from point $A$ where the two athletes meet for the second time.

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