
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 start at opposite ends of a $100$-foot pool, with one swimming at a rate of $4$ feet per second and the other at $3$ feet per second. They swim back and forth continuously for $12$ minutes without losing time at the turns. Find the number of times they pass each other.
**A)** 28  
**B)** 30  
**C)** 32  
**D)** 34  
**E)** 36

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