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It takes one minute for a passenger stan...

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 sec`

B

`45sec`

C

`40 sec`

D

`35 sec`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(esclator) = (x)/(1) rArr V_(esclator) x, v_(man) = (x)/(3)`
`t = (x)/(v_(esclator) +v_(man)) rArr t = (x)/(x+(x)/(3))`
`rArr t = (3)/(4)min rArr t = 45sec`
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