
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
The brother left home 6 minutes later than his sister, following her, and caught up with her in 12 minutes. How many minutes would it take him to catch up with her if he walked twice as fast? Both the brother and sister walk at a constant speed.

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