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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 / barinder
Let down speed = 1 step/sec; time taken = 50secs = 2t
So up speed = 5 steps/sec; time taken = 125/5 = 25secs = t
let speed of escalator = n steps/sec
by relative motion concept if we make escalator at rest
then
down speed = (1+n) steps/sec
up speed = (5-n) steps/sec
as time taken downwards is double time taken upwards but distance is same so upward speed will be twice the downward speed
2*(1+n) = (5-n)
n = 1 step/sec
down speed = 2 steps/sec
number of steps = 2*50 = 100 steps
| Is This Answer Correct ? | 2 Yes | 1 No |
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