Aspire Faculty ID #16498 · Topic: NIMCET 2009 · Just now
NIMCET 2009

A man walks down an escalator.
If he walks down 26 steps, he takes 30 seconds.
If he walks down 34 steps, he takes 18 seconds.
Time is measured from when the top step begins to descend until he steps off at the bottom.
What is the height of the stairway in steps?

Solution

Let escalator speed = x steps/sec
Walking speed = y steps/sec

26 = (x + y) × 30
34 = (x + y) × 18

Solving gives x = 0.4, y = 0.47

Total steps = escalator speed × total time
= (x × time when he stands still)

Height = 52 steps

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