
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
Two groups of tourists are to meet while traveling towards each other from tourist bases \(A\) and \(B\), which are 30 km apart. If the first group starts 2 hours earlier than the second group, they will meet 2.5 hours after the second group starts. Conversely, if the second group starts 2 hours earlier than the first group, they will meet 3 hours after the first group starts. What is the average speed of each group?

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