
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
Three motorcyclists start simultaneously from the same point on a circular highway in the same direction. The first motorcyclist caught up with the second for the first time after completing 4.5 laps from the start, and 30 minutes before that, he caught up with the third motorcyclist for the first time. The second motorcyclist caught up with the third for the first time three hours after the start. How many laps per hour does the first motorcyclist complete?

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