
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 swimmers, starting at opposite ends of a 120-foot pool, swim towards each other. The first swimmer swims at a rate of 4 feet per second, and the second swims at 3 feet per second. They swim back and forth continuously for 15 minutes. Assuming they turn instantly at each end without any loss of time, determine how many times they pass each other.

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