
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
John is walking east at a speed of 4 miles per hour, while Bob is walking east at a speed of 7 miles per hour, and Alice starts walking west at a speed of 3 miles per hour from a point 2 miles east of John. Calculate the time, in minutes, it will take for Bob to catch up to John and for Alice to meet John.

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