
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
One tourist covers a distance of 20 km 2.5 hours faster than another. If the first tourist were to reduce their speed by 2 km/h, and the second were to increase their speed by 50%, they would spend the same amount of time to cover the same distance. Find the speeds of the tourists.

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