
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
Alice uses a mower to cut her rectangular $100$-foot by $160$-foot lawn. The swath her mower cuts is $30$ inches wide, but she overlaps each cut by $6$ inches to ensure no grass is missed. In the center of the lawn, there is a circular flowerbed with a diameter of $20$ feet which does not need to be mowed. Alice walks at a rate of $4000$ feet per hour while pushing the mower. How long will it take Alice to mow the lawn?
A) 1.5 hours 
B) 2.0 hours 
C) 2.5 hours 
D) 3.0 hours

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