
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 and B start traveling towards each other from points A and B simultaneously. A travels at 60 meters per minute and B travels at 40 meters per minute. After some time, they meet at a point 300 meters from the midpoint between A and B. If A took a break at some point during the journey, they would meet at a point 150 meters from the midpoint. How many minutes did A take a break?

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