
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
Three people, A, B, and C, have walking speeds of 100 meters per minute, 90 meters per minute, and 75 meters per minute, respectively. Person A is at point A on a road, while persons B and C are at point B on the same road. They all start walking at the same time. A and B walk towards each other and meet, and after 3 more minutes, A meets C. Determine the distance between points A and B in meters.

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