
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 walks at 4 feet per second and Jenny at 2 feet per second. A circular building, which has a diameter of 200 feet, is centered midway between their paths. If they start from a position such that the building initially blocks their view of each other, find the time \( t \) in seconds from this start until they can see each other again. Present the result as the sum of the numerator and denominator of \( t \) in its simplest form.

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