At a metro station, a girl walks up a station | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $h$ be the height of the escalator. Speed of the girl walking on the stationary escalator is $v_{g} = \frac{h}{20}$. Speed of the moving escal

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(C) Let $h$ be the height of the escalator. Speed of the girl walking on the stationary escalator is $v_{g} = \frac{h}{20}$. Speed of the moving escalator is $v_{e} = \frac{h}{30}$. When the girl walks on the moving escalator, her effective speed is the sum of her walking speed and the escalator's speed: $v_{total} = v_{g} + v_{e}$. $v_{total} = \frac{h}{20} + \frac{h}{30} = h \left( \frac{3+2}{60} \right) = \frac{5h}{60} = \frac{h}{12}$. The time taken to cover the distance $h$ is $t = \frac{h}{v_{total}} = \frac{h}{h/12} = 12 \,s$.

At a metro station, a girl walks up a stationary escalator in $20 \,s$. If she remains stationary on the escalator, then the escalator takes her up in $30 \,s$. The time taken by her to walk up on the moving escalator will be (in $\,s$)

Similar Questions

$A$ particle is dropped from rest and another particle is thrown downward simultaneously with initial speed $u$. Then:

$A$ ball is dropped from the top of a building $100\,m$ high. At the same instant,another ball is thrown upwards with a velocity of $40\,m/s$ from the bottom of the building. The two balls will meet after $..........\,s$.

$A$ bus starts moving with an acceleration of $2\,m/s^2$. $A$ cyclist,$96\,m$ behind the bus,starts moving simultaneously towards the bus at a constant speed of $20\,m/s$. After how many seconds will the cyclist be able to overtake the bus?

$A$ $210 \ m$ long train is moving due North at a speed of $25 \ m/s$. $A$ small bird is flying due South a little above the train with a speed of $5 \ m/s$. The time taken by the bird to cross the train is $........ \ s$.

$A$ man on a rectilinearly moving cart,facing the direction of motion,throws a ball straight up with respect to himself.

Vedclass Test Series

Exam Paper Generator

Online Exam Module