
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
Let's add a third participant to the previous bicycle problem, who uses the same bicycle. Assume that Anderson, Brown, and a person named Carter are involved. They walk at speeds of 4 km/h, 5 km/h, and 3 km/h, respectively, and ride the bicycle at speeds of 10 km/h, 8 km/h, and 12 km/h, respectively. How should they use the bicycle to travel a distance of 20 km in the same amount of time?

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