
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
Given that there is a speed limit sign every 4 kilometers and a speed monitoring device every 9 kilometers on the highway, and the first time both types of facilities are encountered simultaneously is at 19 kilometers, calculate the distance at which the second simultaneous encounter occurs.

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