
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
John plans to compete in a triathlon with a swim of $0.5$ miles at an average speed of $1.5$ miles per hour, a run of $4$ miles at an average speed of $8$ miles per hour, and a $12$-mile bicycle ride. Given that his goal is to finish the entire triathlon in $1.5$ hours, determine the required average speed in miles per hour for the bicycle ride.

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