Question

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`

Answer 1

Correct Answer - 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`