
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
Julia leaves Town A at 7:45 AM biking towards Town B at a uniform rate of 10 miles per hour, and Mark leaves Town B at 8:10 AM heading towards Town A at a rate of 14 miles per hour. They both follow the same 74-mile route, with Julia stopping to rest for 30 minutes at a rest stop located 30 miles from Town A. Determine the time at which they meet.

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