
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
Lera takes the elevator while Lada walks down the stairs in their apartment building (both have constant speeds). One day, when they were descending from the 4th floor to the 1st floor, Lada was faster and waited for Lera at the bottom for a while. Another time, when the girls were descending from the 8th floor, Lada doubled her speed, causing her to wait at the bottom three times longer than the first time. By what factor is Lada's original speed greater than the elevator's speed?

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