
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
Laura decides to train for a biathlon by biking and running. She bikes 25 miles at $3x+2$ miles per hour and then runs 4 miles at $x$ miles per hour. Laura spends 8 minutes transitioning between biking and running. Her total workout, including the transition, lasts 140 minutes. Determine Laura's running speed to the nearest hundredth of a mile per hour.

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