
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 5 minutes away from the watering hole, went to get water, the second cub, who had already quenched his thirst, headed back along the same road 1.5 times faster than the first. At the same time, a turtle on the same road started heading to the watering hole from a distance of 30 minutes away. All three met at some point and then continued their journeys. How many minutes after the meeting did the turtle reach the watering hole, given that all three traveled at constant speeds?

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