
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
Petr and Honza went swimming. The distances they swam were in the ratio $4:5$, with Honza swimming more. The next day, they went again; this time, Petr swam 200 meters less and Honza swam 100 meters more than the previous day, and the ratio of distances was $5:8$. How many meters did Honza and Petr swim on the first day?

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