
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
A class organized a field trip to a museum $50$ kilometers away from the school. The students traveled by bus. One teacher, who was delayed due to some matters, did not catch the bus and departed from the school $\frac{1}{3}$ hour later driving a car at $1.5$ times the speed of the bus along the same route. The teacher and the bus arrived at the museum at the same time. Find the average speeds of the bus and the car.

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