
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 ship has a maximum speed of $20 km/h$ in still water. It takes a certain amount of time to travel $100 km$ downstream at the maximum speed, which is the same as the time it takes to travel $60 km$ upstream at the maximum speed. Find the speed of the river current.<br/>$(1)$ Assume the speed of the river current is $x km/h$. Fill in the table using the relationship between speed, time, and distance:<table><tbody><tr><td width="99"></td><td width="134">Speed $\left(km/h\right)$</td><td width="141">Distance Traveled $\left(km\right)$</td><td width="117">Time Taken $\left(h\right)$</td></tr><tr><td>Downstream</td><td>______</td><td>$100$</td><td>______</td></tr><tr><td>Upstream</td><td>______</td><td>$60$</td><td>______</td></tr></tbody></table>$(2)$ Write the equations and find the solution to the problem.

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