
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 needs to complete a journey in two segments. The first segment is 50 miles that the train covers at 30 mph under normal conditions. The second segment is $b$ miles that the train covers at an effective speed of 80 mph due to favorable wind conditions. Calculate the total time taken by the train to complete the journey.
A) $\frac{400 + 3b}{240}$ hours
B) $\frac{130 + 3b}{120}$ hours
C) $\frac{200 + b}{240}$ hours
D) $\frac{400 + 2b}{240}$ hours

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