
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 running simultaneously from the same point on a 600-meter circular track with speeds of 4.5, 4.9, and 5.1 meters per second. The runners continue until they meet again at some point on the track. Calculate the time it takes for the runners to meet.

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