
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
Given Eric plans to participate in a triathlon aiming to complete within a total time of $2$ hours. He swims $0.5$ miles at an average speed of $3$ miles per hour and runs $4$ miles at an average speed of $8$ miles per hour, calculate the average speed required for the $20$-mile bicycle ride to achieve his goal.

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