
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 wishes to complete a triathlon within $3$ hours. He swims at a speed of $3$ miles per hour over a distance of $0.5$ miles, and runs at a speed of $8$ miles per hour over $4$ miles. Determine the speed at which he must cycle to complete a $20$-mile bicycle ride within the allotted time.

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