Question 106414
An escalator in a department store moves down at the rate of sixty-four steps per minute. Wendy can walk up ordinary steps at the rate of ninety-six steps per minute. In the store, forty-eight steps go from one level to another. Wendy walks up the down escalator. How long will it take her to go up one level?
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48 steps is the distance from one floor to the other.
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Wendy's speed walking up: 96 steps/min
:
Escalator speed going down: 64 steps/min
:
Let t = time required to travel the 48 steps to the next floor
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Dist = speed * time
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Wendy's dist - escalator dist = 48 steps
96t - 64t = 48
32t = 48
t = 48/32
t = 1.5 min
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