
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
Hunter and Mason are racing for 45 minutes on a circular track. Hunter runs clockwise at 200 m/min on an inner lane with a radius of 50 meters. Mason runs counterclockwise at 240 m/min on an outer lane with a radius of 70 meters, starting from the same point as Hunter. Determine how many times they pass each other.

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