An escalator has a length of 225 ft. In a rush, Dominik walks up the escalator at 106 ft/min while the escalator is moving up at 82 ft/min. How long will it take him to reach the top of the escalator?

Question

Priscilla Boyer

Mathematics

12 February, 00:43

An escalator has a length of 225 ft. In a rush, Dominik walks up the escalator at 106 ft/min while the escalator is moving up at 82 ft/min. How long will it take him to reach the top of the escalator?

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Answers (1)

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Carey · Answer 1

The total distance that Dominik will have to walk is the sum of the length of the escalator and the distance that the escalator has traveled. Let t be the time it will take him to reach the top of the escalator. The equation that best models the situation is,

225 ft + (82 ft/min) x t = (106 ft/min) x t

The value of t is 9.375 minutes.