
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

Ivan set off from point A to point B on a tractor, and Peter set off for the same destination in a Mercedes. Peter arrived at point B, waited 10 minutes, and then called Ivan to find out that Ivan had only covered one-third of the distance and was passing by a café. Peter drove to meet Ivan but didn't see him; he arrived at the café, spent half an hour having a snack, and then drove back to point B. Eventually, Peter and Ivan arrived at point B simultaneously. How much time did Ivan spend on the entire journey, given that both traveled at constant speeds?

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