Question

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?

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.