
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
Jenny and Kenny are walking in the same direction on parallel paths that are 300 feet apart. Kenny moves at a rate of 4 feet per second, while Jenny moves at 1 foot per second. A tall circular building 200 feet in diameter is centered midway between their paths. Determine the time in seconds, before Jenny and Kenny can see each other again after the building blocks their line of sight, and find the sum of the numerator and denominator of this time represented in the lowest terms.

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