
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 people, A and B, travel from location $A$ to location $B$. Person A starts 48 minutes before person B. Person B catches up with person A when person A has traveled $\frac{2}{3}$ of the entire distance. If person B immediately returns to location $A$ at the same speed upon reaching location $B$, they meet person A again 6 minutes after person B leaves location $B$. How many more minutes does it take for person A to reach location $B$ after person B catches up with A again?

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