
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
Car X travels at a constant speed covering a certain distance in 3 hours. Car Y starts with an initial speed that is twice that of Car X, and after traveling for an hour, Y accelerates to finish the remaining distance in half the time it would take Car X to cover the same initial hour's distance at constant speed. What is the final distance covered by Car Y during its accelerated phase?
A) \(\frac{d}{3}\)
B) \(\frac{2d}{3}\)
C) \(\frac{d}{2}\)
D) \(\frac{4d}{3}\)

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