
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
Chantal starts hiking from a trailhead toward a fire tower at a speed of 5 miles per hour. One-third of the way to the tower, the trail becomes really steep and Chantal slows down to 3 miles per hour. After reaching the fire tower, she takes a 10-minute break before descending the steep part of the trail at 4 miles per hour. She meets Jean halfway. What was Jean's average speed until they meet?

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