
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 for three consecutive segments: the first segment for \(x\) miles at 50 mph, a second segment for \(2x\) miles at 75 mph, and after a 10-minute stop, it travels the third segment for \(y\) miles at 100 mph. Calculate the total time taken for the entire journey in hours.
A) \(\frac{x + 2x + y}{225}\) hours
B) \(\frac{14x + 3y + 30}{300}\) hours
C) \(\frac{14x + 3y + 50}{300}\) hours
D) \(\frac{x + 2x + y + 50}{225}\) hours

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