
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
Jay, Paul, and Kim leave from the same point at noon. Jay walks 0.75 miles every 15 minutes due east. Paul power walks 2.5 miles every 30 minutes due west. Kim jogs at a rate of 3 miles every 45 minutes to the north. Find out how far apart Jay and Kim are after 2.25 hours.

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