
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
Three runners started from the same point on a circular track and ran in the same direction. The first runner overtook the second one in 6 minutes and the third one in 10 minutes. In how many minutes did the third runner overtake the second? (Assume that the runners' speeds are uniform and ignore the width of the track.)

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