
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
Jack and Jill start from the same point to go to a lake, 3 miles away. Jill rides her bicycle at a speed of 12 miles per hour but has to stop for 2 minutes at a bike shop. Jack walks at a speed of 3 miles per hour. Calculate the time difference in minutes between the time it takes Jill to arrive at the lake and the time it takes Jack to arrive at the lake.

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