A man while going down in a escalator(which is moving 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 were'nt moving.
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Answer Posted / Tarun Kumar Singh
Let's denote the number of steps taken when the escalator is not moving as S. We know that the man takes 50 steps going down and 125 steps going up. Since he goes 5 times faster upwards than downwards, the time taken to go up is 5/6th of the time taken to go down. Let t be the time taken in both cases. So we have: S = 50 + 125 * (t * 5/6). Solving for S gives us S=375.
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