
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
Michael walks at a rate of $6$ feet per second on a long straight path. Trash pails are located every $150$ feet along the path. A garbage truck traveling at $12$ feet per second in the same direction as Michael stops for $20$ seconds at each pail. As Michael passes a pail, he notices the truck ahead of him just leaving the pail directly in front of him. Calculate the number of times Michael and the truck will meet.

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