
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 sets a new goal to complete a modified triathlon in 3 hours. He plans to swim 0.5 miles at an average speed of 1.5 miles per hour, run 4 miles at an average speed of 5 miles per hour, and then ride a bicycle for 20 miles. What must his average speed in miles per hour be for the bicycle ride to achieve his goal?

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