
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
Ace runs with a constant speed. Flash runs $z$ times as fast as Ace where $z > 1$. This time, Ace gets a head start of $k$ meters. After Ace has been running for $t_0$ seconds, Flash starts from the same starting point. Determine the number of meters Flash must run to catch up to Ace.

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