
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 balls, whose sizes can be neglected in this problem, move along a circular path. When moving in the same direction, they meet every 20 seconds, and when moving in opposite directions, they meet every 4 seconds. It is known that when moving towards each other on the circular path, the distance between the approaching balls decreases by 75 cm every 3 seconds (until they meet). Find the speed of the slower ball (in cm/sec).

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