
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
In a 1000-meter track cycling pursuit race (one lap is 1000 meters), Athlete A's strategy is: the speed for the first minute is 1000 meters/minute, increasing by 200 meters every minute thereafter, until the 5th minute when due to a decrease in physical strength, the speed decreases by 200 meters per minute until the lowest speed of 600 meters/minute is reached. Athlete B's strategy is to proceed at a constant speed of 1200 meters/minute. The race rules stipulate that both start at the same time, place, and direction, and the one who catches up by a lap wins.  
Question: (1) Can Athlete A catch up with Athlete B when at maximum speed?  
(2) How long did the race last?

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