
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 that Jessica swims 0.5 miles at 1 mile per hour, runs 5 miles at 5 miles per hour, and bikes 20 miles, determine the average speed in miles per hour she must sustain in the bicycle segment to complete the entire triathlon within 4 hours.

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