
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
Person A and person B start simultaneously from locations $A$ and $B$, respectively, moving towards each other. The speed ratio of person A to person B is 4:5. After they meet, person A's speed decreases by 25% and person B's speed increases by 20%, and they continue moving in their original directions. When person B reaches location $A$, person A is $30 \mathrm{~km}$ away from location $B$. What is the distance between locations $A$ and $B$ in kilometers?

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