
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
Eric is set to compete in a triathlon. He plans to swim $\frac{1}{2}$ mile at an average speed of $1$ mile per hour, and run $2$ miles at a speed of $8$ miles per hour. What average speed must he maintain during a $12$-mile bicycle ride to achieve his goal of completing the entire event in less than $2$ hours.

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