Bob takes the subway to work

Question

Bob takes the subway to work and uses an escalator at the railway station. If Bob runs up 8 steps of the escalator, then it takes him 46.5 seconds to reach the top of the escalator. If he runs up 13 steps of the escalator, then it takes him only 39.0 seconds to reach the top. How many seconds would it take Bob to reach the top if he did not run up any steps of the escalator?

Answer 1

How many seconds does Bob save per step up that he takes?

 

Seconds / step up = (46.5 - 39.0) / (8 - 13) = -1.5

 

So if Bob does away with the 8 steps, it will take him 46.5 - 8(-1.5) = 58.5 seconds.

 

If Bob does away with the 13 steps, it will take him 39.0 - 13(-1.5) = 58.5 seconds.