
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
Schools A and B organize some teachers and students to go to an outdoor base for expansion training. They depart from two locations that are $240$ kilometers and $270$ kilometers away from the destination at the same time. It is known that the average speed of the bus that the teachers and students of School B take is $1.5$ times the average speed of the bus that the teachers and students of School A take. The teachers and students of School A arrive at the destination $1$ hour later than those of School B. Find the average speeds of the buses that the teachers and students of School A and School B take, respectively.

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