
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 constant speed and Flash runs $2x$ times as fast, where $x>1$. Flash gives Ace a head start of $2y$ yards, and at a given signal, they start running in the same direction. Find the number of yards Flash must run to catch up to Ace.
A) $2xy$
B) $4xy$
C) $\frac{4xy}{x-1}$
D) $\frac{4xy}{2x-1}$
E) $\frac{8xy}{x+1}$

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