
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 high school's two classes plan to attend an event at the cultural center, but there is only one school bus to transport the students. As the students from the first class depart from the school by bus, the second class starts walking; at a certain point along the way, the first class students get off the bus to walk, and the bus immediately returns to pick up the second class students and heads directly to the cultural center. The walking speed of the students is 4 kilometers per hour, the bus speed with students is 40 kilometers per hour, and the bus speed when empty is 60 kilometers per hour. To ensure both classes arrive at the cultural center at the same time, what fraction of the total distance did the first class students walk?

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