The airport escalator is slightly out of sync with its handrails. The escalator moves at a speed of 40 inches per second, while the handrails moves at a slightly but annoyingly faster pace of 42 inches per second. The length of escalator is 140 feet. From the moment a person steps onto the escalator to the moment he steps off, how much farther (in inches) would the handrails have moved ahead of the escalator?

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

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step-by-step explanation:

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the correct answer would be the third option