
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
Alicia leaves Town A at 7:45 AM heading towards Town B on her bicycle, moving at a consistent speed of 15 miles per hour, and David leaves Town B at 8:15 AM heading towards Town A on his bicycle, moving at a consistent speed of 18 miles per hour. The towns are 84 miles apart. Given their speeds and the time elapsed before they meet, calculate the time at which they meet.

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