
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 are moving around a circular track at constant speeds. When two runners meet each other, they instantly turn around and start running in the opposite direction.

At some point, the first runner meets the second runner. Fifteen minutes later, the second runner meets the third runner for the first time. Another twenty-five minutes later, the third runner meets the first runner for the first time.

How many minutes does it take for one runner to complete the entire track?

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