
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 stop \( B \) is located on a straight highway between stops \( A \) and \( C \). After some time after departing from \( A \), the bus found itself at a point on the highway such that the distance from this point to one of the three stops equals the sum of the distances to the other two stops. After the same amount of time, the bus again found itself at a point with this property, and 25 minutes later it reached \( B \). How much time does the bus need for the entire trip from \( A \) to \( C \), if its speed is constant and it stops at stop \( B \) for 5 minutes?



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