
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
In a sports event, Emily and John are running on a 400 meter circular track. Emily runs counterclockwise and completes a lap every 100 seconds, whereas John runs clockwise and completes a lap every 75 seconds. They start together at the same point. If a spectator plans to take a photo 15 to 20 minutes after they start, capturing one-third of the track centered on the starting line, what is the probability that both Emily and John are in the photo?
A) $\frac{1}{8}$
B) $\frac{1}{6}$
C) $\frac{1}{4}$
D) $\frac{1}{12}$

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