
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 100-mile journey is taken by three people: A, B, and C. A and C travel at 25 mph by car, while B walks at 5 mph. After some distance, C gets off and walks at 5 mph while A drives back to pick up B and they all reach the destination at the same time. Calculate the time it takes for the journey.

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