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A man while going dowm in a escalator(which is miving down)
takes 50 steps to reach down and while going up takes 125
steps. If he goes 5 times faster upwards than downwards.
What will be the total no of steps if the escalator werent
moving.
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Answer Posted / singaravelan
Let the person be F
Let F takes 't' sec to take 50 steps down.
Then for reaching upstairs F takes'(t/5)' sec to take 50
steps up. So for taking 125 steps,
50step----- t/5sec
125step----- 0.5tsec
Let 'v' be the velocity with which the escalator moves.
So the no.of steps (distance) covered by F in moving
up and down will be the same.
Hence,
50+vt=125+0.5vt
0.5vt=75
vt=150
Therefore no.of steps in escalator will be
50+150=125+0.5*150=200
Thus there were 200 steps in the escalator....
| Is This Answer Correct ? | 2 Yes | 4 No |
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