Solved: A moving walkway at an airport has a speed v1 and

Step 1 of 3

We need to find the time taken by a woman standing in the walkway to reach the other end. We are also asked to find the time taken by a man to travel the same distance if he walks in the walkway at a speed \(v_{2}\) relative to the moving walkway. 

Concept to understand: 

Relative motion

Given data:

Velocity of the walkway = \(v_{1}\)

Velocity of the woman standing on the walkway=Velocity of the walkway = \(v_{1}\)

Relative velocity of the man with respect to the velocity of walkway = \(v_{2}\)

Length of the walkway = L

We know that since both the man and the walkway are travelling in the same direction, 

The relative velocity of the man with respect to the velocity of walkway is given as, 

\(v_{2}=v_{m}-v_{w}\),

Here, 

\(v_{m}\) is the velocity of the man, and \(v_{w}\) is the velocity of women.