
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 drives from her house to her mother's house in a known time and distance relationship with a variable speed. Given the original travel time is 180 minutes, and if she decreases her speed by 30 miles per hour after driving $\frac{1}{2}$ of the distance, the total travel time extends to 300 minutes. Find the distance from Sharon's house to her mother's house.

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