
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 runners start simultaneously from the same point on a 600-meter circular track, running clockwise at constant speeds of 4.4 m/s, 4.9 m/s, and 5.1 m/s. Determine the time it takes for them to meet again somewhere on the track.

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