
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
A group of cyclists decided to practice on a small road before the competition. They all ride at a speed of 35 km/h. Then one of the cyclists suddenly breaks away from the group and, moving at a speed of 45 km/h, travels 10 km, then turns back and, without reducing speed, rejoins the rest (who continue to move at the same speed, not paying attention to him).

How much time has passed since the cyclist broke away from the group until he rejoined them?

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