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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 minutes to walk up. How long will it take for the passenger to arrive at the top if he walks up the moving escalator?45 sec30 sec40 sec35 sec

A
30 sec
B
35 sec
C
45 sec
D
40 sec
Solution
Verified by Toppr

#### Let the distance to the top be d. therefore the speed of the man with escalator not moving =(d1)m/min therefore the speed of the escalator with the man at rest=(d3)m/min when both the main and the escalator are moving, effective speed=(d3+d) m/min=4d3 m/min Therefore time taken when both men and escalator are moving=distancespeed=d4d334min=45secondsHence (B) is correct answer

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