
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 pedestrian left point $A$ heading to point $B$. At the same time, a cyclist left point $B$ heading to point $A$. One hour later, the pedestrian was exactly halfway between point $A$ and the cyclist. After another 15 minutes, they met and each continued on their way.

How much time did the pedestrian spend traveling from $A$ to $B$? (The speeds of the pedestrian and the cyclist are constant.)

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