First slide

Average Velocity

Question

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t₂. The time taken by her to walk up on the moving escalator will be :

Easy

A

$\frac{t_{1} t_{2}}{t_{2} - t_{1}}$
B

$\frac{t_{1} t_{2}}{t_{2} + t_{1}}$
C

t₁-t₂
D

$\frac{t_{1} + t_{2}}{2}$

Solution

v₁ → velocity of Preeti
v₂ → velocity of escalator
l → distance
$t = \frac{l}{v_{1} + v_{2}} + \frac{l}{\frac{l}{t_{1}} + \frac{l}{t_{2}}} = \frac{t_{1} t_{2}}{t_{1} + t_{2}}$

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