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Q.

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?

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a

30 sec

b

45 sec

c

40 sec

d

35 sec

answer is B.

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Detailed Solution

Let speed of elevator is vet1=Lve⇒1min=Lve Let speed of person relative to elevator is vP then t2=Lvp⇒3min=Lvp when the escalator is moving: t3=Lve+vp=LL1min+L3min=34min=45s
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