
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
Rachel and Robert are running on a circular track, with Rachel heading counterclockwise with a lap time of 120 seconds, and Robert moving clockwise with a lap time of 75 seconds. Both start at the same point at the same time. A picture is randomly taken between 15 and 16 minutes after they start, covering one-third of the track centered on the starting line. Determine the probability that both runners appear in the picture when it's taken.
A) 0
B) $\frac{1}{12}$
C) $\frac{1}{6}$
D) $\frac{1}{4}$

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