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# A $205$-ft long escalator at the CNN World Headquarters in Atlanta, Georgia, is the world's longest freestanding escalator. In a rush, Dominik walks up the escalator at a rate of $100 \mathrm{ft} / \mathrm{min}$ while the escalator is moving up at a rate of $105 \mathrm{ft} / \mathrm{min}$. How long will it take him to reach the top of the escalator?

Solution

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Because the Dominik walks up the escalator is $100 \mathrm{ft} / \mathrm{min}$ and the speed at which the escalator is moving up is $105 \mathrm{ft} / \mathrm{min}$. So, the speed of Dominik at the escalator as follows:

$(100+105) \mathrm{ft} / \mathrm{min}$

The length of the escalator is 205 feet.

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