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Every day, Aimee goes up an escalator on her journey to work. If she stands still, it takes her 60 seconds to travel from the bottom to the top. One day the escalator was broken so she had to walk up it. This took her 90 seconds. How many seconds would it take her to travel up the escalator if she walked up at the same speed as before while it was working?

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Answer:

36 seconds

Step-by-step explanation:

The speed of the escalator by itself is 1/60 of the escalator per second. The speed of Aimee by herself is 1/90 of the escalator per second. To find how much time it would take both of them together, you add up 1/60 and 1/90. The common denominator is 180, so the sum will be 3/180 + 2/180 which is 5/180 which is 1/36. So, in one second, if Aimee is going up the escalator while it is working it will take her 36 seconds.

Hope this helps :)

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