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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 / kaushal
let the speed of escalator be x steps/s going upward or downward let it be upward.
the man is climbing @ 1 step/s then the total time taken in covering 50 steps is 50s
thus man's total speed is (x+1)
time taken is 50s
thus (x+1)*50=total no of steps
now consider the second equation
man is turning back and is moving @ 5 steps/s
and it takes a total of 125 steps so time taken is 125/5=25 s
and the relative speed of man on escalator is(5-x)steps/s
so total no of steps is (5-x)25
now equating both the equations we get
(1+x)*50=(5-x)*125
then x is 1
this is escalator speed 1step/s
moreover thus no of steps is(1+x)*50
i.e (1+1)*50 =100 steps is correct
and fitting it in other eq we get(5-x)*25
equals 100
yes the correct answer is 100
| Is This Answer Correct ? | 4 Yes | 1 No |
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