
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
Joe walked one-third of the way from home to school at a certain rate, then he ran the remaining two-thirds of the way to school at twice the rate at which he walked, taking 9 minutes to walk the initial third of the distance. Determine the total time taken by Joe to get from home to school.

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