
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
Lucas ran 6 laps around the track where the first 150 meters of each lap are covered at 3 meters per second and the remaining 250 meters are covered at 6 meters per second. Calculate the time taken by Lucas to run the 6 laps.

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