Relative Velocity-Please Help me out

A person walks up a stalled 15m long escalator in 90s.When standing on the same escalator,now moving,the person is carried up in 60s.How much time would it take that person to walk up the moving escalator?Does the answer depend on the length of the escalator?

(according to me,
velocity of man=1590
velocity of escalator=1560
velocity of man w.r.t escalator=-15180
this means that since velocity of man w.r.t escalator is negative, the pesrson vcant move up the moving escalator can u please figure out where have i been wrong? )

6 Answers

7
Sigma ·

Vescalator= 1/4 m/s..

Vman= 1/6 m/s

Now when both escalator and man are in motion wrt to ground frame

Vescalator+man= 5/12m/s

Distance to be covered = 15m

Time required=15 x 12/5

= 36 sec ...

1057
Ketan Chandak ·

arre....in this case relative velocity ye nahi hoga....remember the man himself is on the escalator...
and relative velocity nikalne ka darkar nahi hai hai....
problem ka answer hai 36 seconds and it does not depend on the length of the escalator...

158
Anik Chatterjee ·

lekin the man is standing on the escalator ...he isnt w
alking...hence it must be the speed of the escalator
..not the speed of man w.r.t escalator....anyways i may be wrong...how did u do it???

158
Anik Chatterjee ·

but....here....the person and lift are moving in the same direction.....so velocity of peson w.r.t the lift should be 16-14=-112 ????

7
Sigma ·

@Anik: What's the reason behind giving a minus sign there????

just like that?

158
Anik Chatterjee ·

haan...got it...thanx

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