
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
Miranda and Milan run on a circular track. Miranda runs counterclockwise with a lap time of 100 seconds, while Milan runs clockwise with a lap time of 60 seconds. They start simultaneously at the same line. A photojournalist positioned inside the track plans to take a photo that will include one-third of the track, centered on the starting line, at a random time between 8 minutes and 9 minutes after they start running. What is the probability that both Miranda and Milan are in the photo?
A) $\frac{1}{18}$
B) $\frac{2}{15}$
C) $\frac{1}{12}$
D) $0$

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