
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

While one lion cub, who was 6 minutes away, went to the watering hole, the second one, having already quenched its thirst, headed back along the same path 1.5 times faster than the first. At the same time, a turtle, which was 32 minutes away from the watering hole, also headed towards it along the same path. After some time, the first lion cub stepped on the turtle, and 2 minutes and 24 seconds later, the second lion cub did as well. How many minutes after the second incident did the turtle reach the watering hole, knowing that all three moved at constant speeds?

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