
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
Carl and André are running a race. Carl runs at a constant speed of \( x \) meters per second. André runs at a constant speed of \( y \) meters per second. Carl starts running, and then André starts running 20 seconds later. After André has been running for 10 seconds, he catches up to Carl. Find the ratio of y to x.

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