
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
Cátia leaves school every day at the same time and rides her bicycle home. When she pedals at $20 \mathrm{~km} / \mathrm{h}$, she arrives home at $4:30$ PM. If she pedals at $10 \mathrm{~km} / \mathrm{h}$, she arrives home at $5:15$ PM. At what speed should she pedal to arrive home at $5:00$ PM?

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