
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
Betty and Adam start walking from the same point towards a mountain peak. Adam carries more equipment and walks slower. Betty starts at a speed of 3 miles per hour. For the first third of the way to the peak, she maintains this pace. The next third is a tough incline, reducing her speed to 1.5 miles per hour. After reaching the peak, she descends the same incline at 2.5 miles per hour. On her descent, Betty meets Adam at the one-third mark from the peak. Determine Adam's average speed, in miles per hour, until they meet.

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