
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 at a point between his home and the park. To get to the park, he can either walk directly or walk back home and then ride his scooter to the park. He rides 6 times as fast as he walks, and both choices take the same amount of time. What is the ratio of Yan's distance from his home to his distance from the park?

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