
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
A tree farm plans to construct a 750m long irrigation channel with an isosceles trapezoidal cross-section. The area of the cross-section is 1.6m². The width at the top of the channel is 2m wider than its depth, and the width at the bottom is 0.4m wider than its depth.
(1) What is the width of the top and the bottom of the channel?
(2) If the plan is to excavate 48m³ of soil each day, how many days will it take to complete the excavation of the channel?

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