
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 that Ace runs at a constant speed, Flash runs at a speed that is $x$ times as fast as Ace, where $x > 1$, Flash gives Ace a head start of $z$ yards, and Flash starts running $k$ seconds after Ace starts running, calculate the distance that Flash must run to catch up to Ace.

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