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JEE Mains Model Paper 4
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© examsnet.com
Question : 32
Total: 90
At a metro station, a girl walks up a stationary escalator in time
t
1
If she remains stationary on the escalator, then the escalator takes her up in time
t
2
. The time taken by her to walk up on the moving escalator will be
(
t
1
+
t
2
) / 2
t
1
t
2
/ (
t
2
−
t
1
)
t
1
t
2
/ (
t
2
+
t
1
)
t
1
−
t
2
Validate
Solution:
Let displacement is L, then Velocity of girl
v
g
=
L
t
1
Velocity of escalator
v
e
=
L
t
2
Net velocity of the girl seen from ground when walk up on the moving escalator
=
v
g
+
v
e
=
L
t
1
+
L
t
2
If t is total time taken in covering distance L, then
L
t
=
L
t
1
+
L
t
2
⇒ t =
t
1
t
2
t
1
+
t
2
© examsnet.com
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