
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
At a circular track, Brenda and Sally start running from diametrically opposite points but in opposite directions. They first meet after Brenda has run 120 meters. They next meet after Sally has run 180 meters past their first meeting point. After this, they meet yet again once Brenda has run another 260 meters. What is the total length of the track?
A) \( 300 + \frac{\sqrt{60000}}{2} \)
B) \( 300 + \frac{\sqrt{61300}}{2} \)
C) \( 300 + \frac{\sqrt{61200}}{2} \)
D) \( 300 + \frac{\sqrt{62000}}{2} \)

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