
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
James is preparing for a duathlon and decides to skip the swimming segment. He bikes 30 miles at a speed of $3x + 1$ mph, takes a 10-minute break to switch gear, and then runs 10 miles at a speed of $x + 2$ mph. The entire session, including the break, lasts 180 minutes. Determine James's running speed, to the nearest hundredth of a mile per hour.

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