
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
Ant A and Ant B are transporting food back and forth between two points, A and B, that are 6 meters apart. Ant A starts from point A, and Ant B starts from point B at the same time. The speed of Ant A is 2.5 times the speed of Ant B. Determine the distance from point A at which the two ants meet for the 20th time. (Meetings include both head-on meetings and catching up from behind. The time ants spend loading and unloading food is negligible.)

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