
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 boys start moving from the same point A on a circular track but in opposite directions. Their speeds are 6 ft. per second and 10 ft. per second. If they start at the same time and complete their meeting when they first meet at the point A again, determine the number of times they meet, excluding the start and finish.

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