Find The Rate Of The Escalator.

Use the Pythagorean Theorem and Distance Formula.

Escalator Math

Triangle Drawing

Have Some Escalator Math Fun!

Pythagorean Theorem, A^2 + B^2 = C^2,

and Distance Formula, Distance = Rate(Time)

Starting with A = 363 inches and B = 208 inches,

from the Pythagorean Theorem we have:

(363 in)^2 + (208 in)^2 = c^2.

So 131769 + 43264 = c^2, or

c^2 = 175033, then we find square root.

c = 418.369 inches.

Use D = R(T) to find the RATE of escalator.

Distance, D = 418.56 inches, time and T = 22.54 seconds,
found as a class average time, then

418.369 in/22.54 = R.

Rate, R = 18.561 inches per second.

Now we find inches per mile: 1 mile = 12 inches * 5280 feet

Now we find inches per hour: 418.369 in/22.54 sec = x/3600 sec
x = 66820.248 inches per hour.

Then find miles per hour 66820.248/(12 * 5280) = 1.055 miles per hour.

For more information and ideas about this project you may link to a page written by one of the following math artists: Danielle, Darlene, Kellie, Jill, Nanyal, Kevin, Crystal, Rachel, Christina, Jennifer, Candice's Second and Fourth Web Page, Vincent, Esther and Melinda. Most of us are in this picture but not in order of names.

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