
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
Samantha departs from Town A at 7:45 AM heading towards Town B at a steady speed of 15 miles per hour, and Adam leaves Town B at 8:15 AM heading towards Town A on the same 75-mile route at a constant speed of 20 miles per hour. Determine the time they meet and the distance traveled by Samantha at this time.

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