
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
Assume a circular building of radius 60 feet, centered along the midway between parallel paths 240 feet apart. Jenny and Kenny start 240 feet apart and walk towards each other, with Jenny walking at 4 feet per second and Kenny at 2 feet per second on their respective paths. Find the time $t$, in seconds, when they will be visible to each other after the building momentarily blocks their view. Assume they start exactly opposite each other with respect to the building. Express your final answer 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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