
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
Clara leaves home by bike at 1:00 p.m. for a meeting scheduled with Quinn later that afternoon. If Clara travels at an average of $20 \mathrm{~km} / \mathrm{h}$, she would arrive half an hour before their scheduled meeting time. If Clara travels at an average of $12 \mathrm{~km} / \mathrm{h}$, she would arrive half an hour after their scheduled meeting time. At what average speed, in $\mathrm{km} / \mathrm{h}$, should Clara travel to meet Quinn at the scheduled time?

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