
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
The relationship between the velocity $v$ of object A and time $t$ is given by $v=2t-1$ (with $v$ in meters per second and $t$ in seconds), while the relationship between the velocity $v$ of object B and time $t$ is $v=1+8t$. Both objects start simultaneously from points 405 meters apart on the same line and move towards each other. Calculate the distance traveled by object A when they meet.

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