
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 distance between locations A and B is 448 kilometers. A slow train departs from station A, traveling at 60 kilometers per hour, and a fast train departs from station B, traveling at 80 kilometers per hour. The questions are:  
(1) If both trains depart at the same time and head towards each other, how many hours after the fast train departs do the two trains meet?  
(2) If the trains are heading towards each other and the slow train departs 28 minutes before the fast train, how many hours after the fast train departs do the two trains meet?  
(3) If both trains depart at the same time and head in the same direction, with the slow train in front, how many hours after departure does the fast train catch up to the slow train?

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