
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
At the start of a cycling event, Alice feels energetic and rides at 25 miles per hour. As she becomes slightly fatigued, her speed decreases to 15 miles per hour. Finally, nearing exhaustion, she rides at 10 miles per hour. If Alice rides a total distance of 162 miles in 9 hours total, for how many hours did she ride energetically at her top speed?

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