
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
The distance from the home of Vintik and Shpuntik to the school is 6 kilometers. Vintik and Shpuntik left for the school at the same time; Vintik rode a scooter at 10 km/h for half of the time and then walked, while Shpuntik rode a bicycle for half of the distance and then walked. They arrived at the school simultaneously. Both of them walked at a speed of 5 km/h. What is the speed at which Shpuntik rode the bicycle?

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