
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
Yan is in between his home and the stadium. He has two options to get to the stadium: either walk directly to the stadium, or walk back to his home and then ride his bicycle to the stadium. His bicycle speed is 5 times his walking speed, and both options take the same amount of time. What is the ratio of Yan’s distance from his home to his distance from the stadium?

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