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imc

prealgebra intermediate

Problem

It takes Clea 60 seconds to walk down an escalator when it is not operating, and only 24 seconds to walk down the escalator when it is operating. How many seconds does it take Clea to ride down the operating escalator when she just stands on it?
(A)
(B)
(C)
(D)
Solution
Let be the speed of the escalator and be the speed of Clea. Using , the first statement can be translated to the equation . The second statement can be translated to . Since the same distance is being covered in each scenario, we can set the two equations equal and solve for . We find that . The problem asks for the time it takes her to ride down the escalator when she just stands on it. Since and , we have seconds. Answer choice is correct.
Final answer
B