
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
The students from Yuhong School, consisting of seventh and eighth graders, embark on a walking trip to the suburbs. The seventh graders form the front team, walking at a speed of 4km/h, while the eighth graders form the back team, walking at a speed of 6km/h. The front team sets off 1 hour earlier, and the back team sends a liaison officer on a bicycle to continuously travel back and forth between the two teams. The liaison officer cycles at a speed of 12km/h.

(1) How long did it take for the back team to catch up with the front team?
(2) How many kilometers did the liaison officer cycle by the time the back team caught up with the front team?

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