
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 material particle entered a pipe, and 6.8 minutes later, another particle entered the same pipe. Upon entering, each particle immediately starts moving along the pipe: the first particle moves uniformly at 5 m/min, while the second particle travels 3 m in the first minute and in each subsequent minute 0.5 m more than in the previous minute. After how many minutes will the second particle catch up to the first one?

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