
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 cycled 50 miles at 20 miles per hour and 20 miles at 40 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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