It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not move it takes him `3` minute to walk up. How long will it take for the passenger to arrive at the top if he walks up the moving escalator ?A. 30 secB. 45 secC. 40 secD. 35 sec

It takes one minute for a passenger standing on an escalator to reach

1.	It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not move it takes him `3` minute to walk up. How long will it take for the passenger to arrive at the top if he walks up the moving escalator ?A. 30 secB. 45 secC. 40 secD. 35 sec
Answer» Correct Answer - B Let speed of elevator be `v_e`. `t_1 = (L)/(v_e) rArr 1 min = (L)/(v_e)` Let speed of person relative to elevator be `v_P`, then `t_2 = (l)/(v_p) rArr 3 min = (L)/(v_p)` when the escalator is moving : `t_3 = (L)/(v_e + v_p) = (L)/((L)/(1 min) + (L)/(3 min)) = (3)/(4) min = 45 s`.

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It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not move it takes him `3` minute to walk up. How long will it take for the passenger to arrive at the top if he walks up the moving escalator ?A. 30 secB. 45 secC. 40 secD. 35 sec

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