
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
Person A and Person B ride bicycles starting simultaneously from point $A$ to point $B$. Person A's speed is 1.2 times that of Person B. After Person B rides 5 km, their bicycle breaks down, which delays them by an amount of time equal to $\frac{1}{6}$ of the time required to ride the entire distance. After fixing the bicycle, Person B's speed increases by $60\%$, resulting in both Person A and Person B arriving at point $B$ at the same time. What is the distance between points $A$ and $B$ in kilometers?

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