
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
Alice is preparing for a triathlon. She plans to swim 0.5 miles at a speed of 3 miles per hour and run 5 miles at a speed of 10 miles per hour. Alice wants to complete the entire triathlon, which includes a 20-mile bicycle ride, within a total of 2 hours. Determine Alice's required average speed, in miles per hour, during the bicycle ride to meet her goal.

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