
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
$A$ and $B$ compete in a 5000-meter race. In the first attempt, $A$ gives $B$ a 1 km head start and $A$ finishes 1 minute earlier. In the second attempt, $A$ gives $B$ an 8-minute head start and is still 1 km from the finish line when $B$ finishes. How many minutes does it take for $A$ and for $B$ to complete the 5000-meter distance? (Assuming the runners' average speeds remain constant in both attempts.)

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