Question

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 48 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 89 s to travel the same distance.

Q : how long will it take you to travel from the gate tobaggage claim if you walk while riding on the movingsidewalk?

Answer 1

31.182 seconds

Step-by-step explanation:

s = Distance

Velocity = Distance/Time

Velocity of person is

`v=(s)/(48)`

Velocity of sidewalk is

`v_s=(s)/(89)`

When the person is walking along the direction of the sidewalk the combined velocity will be

`v_c=v+v_s=(s)/(48)+(s)/(89)\\\Rightarrow v_c=s(137)/(4272)\\\Rightarrow v_c=(s)/((4272)/(137))\\\Rightarrow v_c=(s)/(31.182)`

So, the time taken is 31.182 seconds