
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, located 6 minutes away from the watering hole, was heading towards it, the second lion cub, having already quenched its thirst, was heading back along the same road 1.5 times faster than the first. At the same time, a turtle, located 32 minutes away from the watering hole, also headed towards it on the same road. At some point, the first lion cub stepped on the turtle, and 2 minutes and 24 seconds later, the second lion cub did the same. How many minutes after the second incident did the turtle reach the watering hole, assuming all three moved at constant speeds?

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