A passenger takes 2 minutes standing on a moving escalator to reach the top.If escalator is stationary he takes 3 minutes to walk up.Tme taken to reach the top when you walk up on moving escalator is

A passenger takes 2 minutes standing on a moving escalator to reach the top. If the escalator is stationary, he takes 3 minutes to walk up. Time taken to reach the top when he walks up on moving escalator:

1. 2.4 minutes

2. 5 minutes

3. 1 minute

4. 1.2 minutes

Explanation:
Let distance = L. Speed on moving escalator = L/2, walking speed = L/3.
Combined speed = L/2 + L/3 = (5L/6)
Time = Distance / Speed = L / (5L/6) = 6/5 = 1.2 minutes