infy puzzle

recently while in london ,i decided 2 walk down the escalator of a tube station.i did some quick calculations in my mind.i found that if i walk down 26 steps,i require 30 seconds to reach the bottom.however,if i am able to step down 34 stairs i would only require 18 seconds to get down to the bottom.
if the time is measured from the moment the top step begins to descend to the time i step off the last step at bottom,tell the height of stairway in steps.
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shilpi84Author Commented:
explanation ozo even i know the answer from the back of the book but cant understand it.
stepping down 8 more steps saves 12 seconds
stepping down 20 more steps would save 30 seconds.
stepping down 26+20=46 steps would get down in 0 seconds.

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but if its an escalator, you fail to incorporate the motion of the escalator into your calculations.
stepping down 8 more steps saves 12 seconds -> the escalator takes 12 seconds to move 8 steps
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