
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
In still water, the speed of boat A is twice the speed of boat B. Both boats A and B start simultaneously from points $A$ and $B$ respectively, traveling toward each other. When they meet, the ratio of the distances traveled from $A$ and $B$ to the meeting point is 3:1. If boats A and B start simultaneously from points $B$ and $A$ respectively and travel toward each other, what will be the ratio of the distances traveled from $A$ and $B$ to the meeting point?

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