# The escalator

I run up the escalator at a constant speed in the direction of the stairs and write down the number of steps A we climbed. Then we turn around and run it at the same constant speed in the opposite direction and write down the number of steps B that I climbed. If A = 24 and B = 264, how many steps are visible at any one time on the escalator?

Result

x =  144

#### Solution:

x = 24+v
x = 264-v

v-x = -24
v+x = 264

v = 120
x = 144

Calculated by our linear equations calculator.

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