
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
52 volunteers are divided into two groups, A and B, to participate in a voluntary tree planting activity. Group A plants 150 bundles of poplar saplings, and Group B plants 200 bundles of sea buckthorn saplings. Assuming groups A and B start planting at the same time.  
(1) According to statistics from previous years, it takes each volunteer $$\frac {2}{5}$$ hours to plant a bundle of poplar saplings and $$\frac {1}{2}$$ hours to plant a bundle of sea buckthorn saplings. How should the number of people in groups A and B be allocated to minimize the duration of the tree planting activity?  
(2) After planting for 1 hour according to the allocation in (1), it was found that it still takes each volunteer $$\frac {2}{5}$$ hours to plant a bundle of poplar saplings, but it actually takes $$\frac {2}{3}$$ hours to plant a bundle of sea buckthorn saplings. Therefore, 6 volunteers were transferred from group A to group B to continue planting. Calculate the duration of the tree planting activity.

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