
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
$A$ and $B$ are two towns $b$ km apart. Peter cycles at a speed of $7$ km/h from $A$ to $B$ and at the same time John cycles from $B$ to $A$ at a speed of $5$ km/h. If they meet after $p$ hours, find $p$.

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