
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
The pressure \( P \) on a ship's sail varies jointly as the area \( A \) of the sail and the square of the velocity \( V \) of the wind. 
The pressure on a two square feet is \( 4 \) pounds when the velocity is \( 8 \) miles per hour. Find the velocity of the wind when the pressure on half a square yard is \( 25 \) pounds.
A) \( 10 \text{ mph} \)
B) \( 12 \text{ mph} \)
C) \( \frac{40}{3} \text{ mph} \) or \( 13.33 \text{ mph} \)
D) \( 15 \text{ mph} \)

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