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Real-Life Math

Locomotives are massive, powerful machines. But to run properly, they must be maintained to exact specifications. That means using measuring devices such as calipers and even micrometers to get things exactly right.

But locomotive mechanics use math in many other ways during the day. One common way is to estimate the time and cost of repairs. Even though most mechanics work in-house, this information is important because it tells managers when a repair is worthwhile and when it might be time to retire or scrap an engine.

Engine 501B was built in 1971. It has 1,500 hours of time on the engine, about 2/3 of which is idle time (1/3 drive time).

You complete an inspection and determine that it needs the following work:

  • Replace engine valves
  • Replace engine piston sleeves
  • Replace all hydraulic lines

The cost of each is as follows:

Valves: 24 valves at $120 per valve
Time: 15 minutes per valve

Piston sleeves: 12 sleeves at $45 per sleeve
Time: 20 minutes per sleeve

Hydraulic lines:
120 meters of hose at $2 per meter
Time: 1/2 hour per 10 meters

Labor is priced at $50 per hour.

The average locomotive engine has a life expectancy of 750 drive-hours. Each drive-hour is valued at $100. Is it worth it to repair this engine?

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OCAP believes that financial literacy and understanding the financial aid process are critical aspects of college planning and student success. OCAP staff who work with students, parents, educators and community partners in the areas of personal finance education, state and federal financial aid, and student loan management do not provide financial, investment, legal, and/or tax advice. This website and all information provided is for general educational purposes only, and is not intended to be construed as financial, investment, legal, and/or tax advice.