
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
A particle moves such that the distance covered during the nth mile varies inversely as the time it takes to cover that mile. If the second mile was covered in 2 hours and the corresponding distance was 1 mile, find the time, in hours, needed and the distance covered to traverse the 4th mile.
A) 0.5 mile in 3 hours
B) 0.5 mile in 4 hours
C) 1 mile in 4 hours
D) 1.5 miles in 4 hours

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