This page contains geometry math problems.

Steam Up!

1. During a visit to the Colorado Railroad Museum, my uncle Bob told me, "Every railroad person knows that a 2.2% grade means you go up 116 feet over the course of a mile. It's just something that railroad people know. If you asked some of us how to figure it out, we would have a lot of trouble!"
Show Uncle Bob at least one way to figure it out.
To calculate the "grade" of an incline, such as that found along a railroad track, divide the rise (height increase) by the run (horizontal distance).

2. The museum has a "Steam Up" some weekends, during which you can take a narrow gauge train ride behind a real steam engine. The track is a loop around the museum grounds. The back part of this loop is a 3.96% grade uphill. The tour guy said that while going up that hill, the front of the train is 8 feet higher than the back. How long is the train?

 

This page was updated February 4, 2007 10:20 PM