
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 three segments of a journey. The first segment is $x$ miles at 50 mph, the second is $2y$ miles at 30 mph, and the third is $3z$ miles at 80 mph. Calculate the total time taken for the entire journey.

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A) $\frac{12x + 40y + 22.5z}{600} \text{ hours}$
B) $\frac{5x + 20y + 15z}{600} \text{ hours}$
C) $\frac{10x + 30y + 18z}{600} \text{ hours}$
D) $\frac{x + 2y + 3z}{60} \text{ hours}$

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