
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
Two skaters, Cara and Dan, are starting from points $C$ and $D$, respectively, on a large, frozen river. The distance between $C$ and $D$ is 150 meters. Cara skates from $C$ at a speed of 6 meters per second along a path that makes a $45^\circ$ angle with $CD$. At the same time, Dan leaves from $D$ at a speed of 5 meters per second and skates directly toward Cara along the path that results in them meeting as soon as possible. Determine the distance Cara skates before meeting Dan.

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