
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
Chukov, a first-grader, runs one lap on rough terrain three minutes faster than his classmate Gekov (both run at a constant speed). If they start running simultaneously from the same point but in opposite directions, they will meet no earlier than in two minutes. If they start from the same point and run in the same direction, Chukov will overtake Gekov by a lap no later than in 18 minutes. Determine the possible values of the time it takes Chukov to run one lap.

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