
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]


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March 12th is Tree Planting Day. A school organizes 65 high school students and their parents to participate in the "Plant a tree, green a land" tree planting activity as a family unit. The activity divides the 65 families into two groups, A and B. Group A is responsible for planting 150 silver poplar seedlings, while group B is responsible for planting 160 purple plum seedlings. According to previous statistics, it takes $\frac{2}{5}h$ for a family to plant a silver poplar seedling and $\frac{3}{5}h$ to plant a purple plum seedling. Assuming that groups A and B start planting at the same time, in order to minimize the duration of the tree planting activity, the number of families in group A is \_\_\_\_\_\_, and the duration of the activity is \_\_\_\_\_\_ $(h)$.

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