
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 train travels from station A to station C, stopping at station B. The train covers the first segment of $p$ miles from A to B at 50 mph, then proceeds to cover another segment of $2p$ miles from B to C at 80 mph. If the train pauses for 0.5 hours at station B, determine the total time taken for the journey from A to C.
A) $\frac{9p + 100}{100}$ hours
B) $\frac{9p + 100}{200}$ hours
C) $\frac{9p + 100}{300}$ hours
D) $\frac{9p + 50}{200}$ hours

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