
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
A triathlete participates in a challenging triathlon with the swimming and biking segments being twice as long as the running segment. The triathlete swims at a rate of 3 kilometers per hour, bikes at a rate of 10 kilometers per hour, and runs at a rate of 20 kilometers per hour. Estimate the triathlete's average speed for the entire race, in kilometers per hour.

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