
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
Sharon drove from her home to her mother's home at a constant speed, taking exactly 180 minutes. One day, she drove to her mother's home at her usual speed, and after covering $\frac{1}{3}$ of the total distance, she encountered a snowstorm. She reduced her speed by 20 miles per hour and took a total of 276 minutes for the entire trip. Determine the total distance from her home to her mother's home in miles.

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