
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
Jane rode 40 miles at 8 miles per hour, 20 miles at 40 miles per hour, and 10 miles at 20 miles per hour. What was her average speed, in miles per hour, for the entire journey?

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