
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, are practicing running on a circular track of 400 meters. If they run in opposite directions from the same point, they meet for the first time after 25 seconds. If they run in the same direction from the same point, A catches up with B for the first time after 200 seconds. Find the average speeds of A and B.

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