
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 bus leaves from city $A$ to city $B$, which is 240 km away from $A$, at a speed of 40 km/h. At the same time, a car leaves from $B$ heading towards $A$ at a speed of $v$ km/h. Half an hour after meeting the bus, the car turns back towards $B$ without reaching city $A$ and continues moving towards $B$ at the same speed. Determine all values of $v$ for which the car arrives in city $B$ before the bus.

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