
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 forest plantation plans to build a canal with a length of $750m$ and a trapezoidal cross-section. The cross-sectional area is $1.6m^{2}$. The width of the top is $2m$ more than its depth, and the width of the bottom is $0.4m$ more than its depth.

(1) What are the respective widths of the top and bottom of the canal?
(2) If the plan is to excavate $48m^{3}$ of earth per day, how many days would it take to complete the excavation of this canal?

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