
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 river is bounded by the lines  $x=0$  and  $x=25$ , with a current of 2 units/s in the positive y-direction. At  $t=0$ , a mallard is at  $(0, 0)$ , and a wigeon is at  $(25, 0)$ . They start swimming with a constant speed such that they meet at  $(x,22)$ . The mallard has a speed of 4 units/s relative to the water, and the wigeon has a speed of 3 units/s relative to the water. Find the value of  $x$ . 

*2022 CCA Math Bonanza Individual Round #11*

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