
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
Vasya left the village of Vasilky and went on foot to the village of Romashki. At the same time, Roma departed from the village of Romashki to the village of Vasilky. The distance between the villages is 36 km, Vasya's speed is 5 km/h, and Roma's speed is 4 km/h. At the same time as Vasya, a cyclist named Dima departed from Vasilky at a speed equal to the sum of the boys' speeds and rode towards Roma. When he met Roma, he greeted him and immediately turned back. Upon meeting Vasya, he greeted him and immediately turned back. And so he continued to ride between the boys until they met. How many kilometers did the cyclist travel during this time?

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