
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 is preparing for a marathon and decides to include biking in his training session. He bikes 30 miles at \(3x + 2\) miles per hour, takes ten minutes to change from his cycling gear to running shoes, and then runs 10 miles at \( 1.2x\) miles per hour. The total duration of his workout including the transition is 3 hours. Determine John's running speed, rounding to the nearest hundredth of a mile per hour.

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