
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 simultaneously from point $A$ to point $B$. The speed of Person A's bicycle is 1.2 times the speed of Person B's bicycle. After riding 5 kilometers, Person B's bicycle has a malfunction and the time spent fixing it is equivalent to riding $\frac{1}{6}$ of the total distance. After fixing the malfunction, Person B's speed increases by $60\%$, and both Person A and Person B arrive 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