
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 $(P)$ of wind on a sail varies jointly as the area $(A)$ of the sail and the square of the velocity $(V)$ of the wind. When the velocity is $20$ miles per hour, the pressure on a rectangle of $3$ feet by $4$ feet is $4.8$ pounds. The pressure is $8.4$ pounds when the velocity is $15$ miles per hour on the same rectangle. Find the velocity of the wind when the pressure on a rectangle of $6$ feet by $8$ feet is $60$ pounds.
A) $25$ mph
B) $30$ mph
C) $35$ mph
D) $40$ mph

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