
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
Given Cindy leaves school at the same time every day, and if she cycles at $20 \mathrm{~km} / \mathrm{h}$ she arrives home at $4:30$ in the afternoon, and if she cycles at $10 \mathrm{~km} / \mathrm{h}$ she arrives home at 5:15 in the afternoon, find the speed, in $\mathrm{km} / \mathrm{h}$, at which she must cycle to arrive home at 5:00 in the afternoon.

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