
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 cyclist and a horse rider were racing on a stadium (see Fig. 6). They needed to complete 5 laps. They spent the same amount of time on the first lap. Each subsequent lap, the cyclist rode 1.1 times slower than the previous one. The horse rider spent an additional fixed amount of time on each lap compared to the previous one. They both finished at the same time. Who spent more time on the 5th lap and by how many times?

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