
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 places A and B is 100 kilometers. A bus carrying 20 passengers travels from A to B at a speed of 60 kilometers per hour. Half an hour after departure, the bus breaks down. The passengers have to be picked up by the next bus, which already has 22 passengers and departs from A at a speed of 50 kilometers per hour. After picking up the passengers from the first bus, the bus continues towards B. Along the way, for every additional 2 passengers, the bus's speed decreases by 1 kilometer per hour. The question is: How much time does the second bus take to travel from A to B? (The maximum capacity of the bus is 42 people)

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