
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, at opposite ends of a $100$-foot pool, start to swim the length of the pool, one at the rate of $4$ feet per second, the other at $5$ feet per second. They swim back and forth for $15$ minutes. Allowing no loss of time at the turns, find the number of times they pass each other.

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