
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
From a single point on a straight highway, three cyclists start simultaneously (but possibly in different directions). Each cyclist moves at a constant speed and does not change direction. One hour after the start, the distance between the first and second cyclists is 20 km, and the distance between the first and third cyclists is 5 km. What is the speed of the third cyclist, given that the third cyclist is slower than the first, and the speed of the second cyclist is 10 km/h? Specify all possible options.

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