
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 funicular railway is planned to be built on Gellért Hill in Budapest. The summit of the hill is $84 \mathrm{~m}$ higher than the base of the hill. The total length of the straight inclined track is $140 \mathrm{~m}$. Two cars of equal weight travel up and down, connected by a cable over a pulley. Each car can hold 40 people. The funicular carries the greatest load when the upward car is fully loaded, and the downward car is empty. Each car weighs 50 quintals. The average weight of a person is $70 \mathrm{~kg}$. The coefficient of rolling friction on the iron rails is 0.005. Calculate the horsepower required for the steam engine if one trip takes one minute. (For this approximate calculation, disregard the stiffness and weight of the cable, the moment of inertia of the pulley, and air resistance.)

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