A person climbs up a stationary escalator in 60 s . If standing on the same escalator but escalator moving with constant velocity he takes 40 s . How much time is taken by the person to walk up the mo

Question

A person climbs up a stationary escalator in 60 s . If standing on the same escalator but escalator moving with constant velocity he takes 40 s . How much time is taken by the person to walk up the moving escalator?

TestHub · Accepted Answer

Let d be the distance, v man ​ be the person's speed, and v es ​ be the escalator's speed. 60 = v man ​ d ​ and 40 = v es ​ d ​ . The time taken to walk up the moving escalator is t = v man ​ + v es ​ d ​ . Thus, t 1 ​ = d v man ​ ​ + d v es ​ ​ = 60 1 ​ + 40 1 ​ , so t = 24 s.

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