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Grade: 12th pass

                        

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t 1. On other days, if she remaines stationary on moving esclalator, then the escalator takes her up in time t 2 . The time taken by her to walk up on the moving escalator will be 1) t 1 + t 2 / 2 2) t 1 t 2 /t 2 - t 1 3) t 1 t 2 / t 2 + t 1 4) t 2 - t 1 Now I have solved the question and I am getting answer (2) but answer is (3) as shown is attachment . Dont relative velocities of two body moving in same direction is found out by subtraction.? Please explain.

2 years ago

Answers : (1)

Eshan
askIITians Faculty
2095 Points
							Dear student,

\dfrac{d}{t_1}is not the velocity of Preeti(wrt ground), but of Preeti wrt escalator =v_{PE}. This is because it is her velocity when escalator is stationary.

Hence speed of Preeti on moving escalator==v_{PE}+v_E=\dfrac{d}{t_1}+\dfrac{d}{t_2}

Hope it helps. Regards.
2 years ago
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