Latest self Aptitude Question SOLUTION: A man can walk up a moving 'UP' escalator in 30s . the same man can walk down in the moving 'UP' escalator in 90s. assume that his walking speed is same upward and downward . how m

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(#M40028879) SELF question Keep an EYE

A man can walk up a moving 'UP' escalator in 30s . the same man can walk down in the moving 'UP' escalator in 90s. assume that his walking speed is same upward and downward . how much time he takes to walk up the escalator when it is not moving.

Sushil Singh (10 years ago)

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shilpa  (9 years ago)

as speed x time = distance
so speed is inversely proportional to time
speed of goin up/speed of goin down = time to go down/time to go up
hence speed of goin up = 3 * speed of goin down
now speed of man+speed of elevator = speed of goin up
and speed of man - speed of elevator = speed of goin down
so man's speed is twice the elevator speed
hence
2/3=30/x
whre x is time needed to move up if escalator is stoppd
so x=45

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Sagar Mate  (10 years ago)

Let 'x' be man's speed
and 'y' be man's speed
distance travelled each time 'z'
.
1st Eq.
(x+y)z = 30seconds.....(since speed x distance = time)
.
.
2nd Eq.
(x-y)z = 90 seconds....
.
mow add two
we get,
2xz = 120 secs
so, xz = 60 secs
therefore, it wl take 60 SECONDS for a man to walk up/down on a static escalator with 'x' speed.

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