
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
To ensure the water supply for vegetable planting, it is necessary to build an irrigation canal.<br/>$(1)$ It is planned to build an irrigation canal of $600$ meters. After working for $5$ days, Team A increased the number of workers. They built $20$ meters more each day than before and completed the task after working for another $2$ days. What is the daily increase in the length of the irrigation canal for Team A after adding more workers?<br/>$(2)$ Due to the expansion of the base area, another irrigation canal of $1800$ meters needs to be built. In order to complete the task as soon as possible, it is decided to have Team B and Team A work together to build this canal until completion. Team A works at the increased speed as mentioned in $(1)$. After Team B built $360$ meters, they increased their daily construction speed by $20\%$. When the irrigation canal is completed, the lengths built by the two teams are exactly the same. What was the original daily construction length of the irrigation canal for Team B?

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