
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
Two brothers had tickets to a stadium located 10 km from their home. Initially, they planned to walk to the stadium. However, they changed their plan and decided to use a bicycle. They agreed that one would start on the bicycle and the other would walk simultaneously. After covering part of the distance, the first brother would leave the bicycle, and the second brother would ride the bicycle after reaching it, continuing until he caught up with the first brother at the entrance of the stadium. How much time do the brothers save compared to their initial plan to walk the entire way, given that each brother covers each kilometer 12 minutes faster on the bicycle than on foot?

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