
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 bodies $A$ and $B$ are $343 \mathrm{~m}$ apart. They both start moving towards each other with uniform acceleration at the same moment. The initial velocity of one body is $3 \mathrm{~m/s}$ with an acceleration of $5 \mathrm{~m/s^2}$, and the initial velocity of the other body is $4 \mathrm{~m/s}$ with an acceleration of $7 \mathrm{~m/s^2}$. The question is, after how much time will the two bodies meet, and at what distance from their starting points?

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