Question

At some airports there are speed ramps to help passengers get from one place to another. A speed ramp is a moving conveyor belt on which you can either stand or walk. Suppose a speed ramp has a length of 125 m and is moving at a speed of 2.1 m/s relative to the ground. In addition, suppose you can cover this distance in 73 s when walking on the ground. If you walk at the same rate with respect to the speed ramp that you walk on the ground, how long does it take for you to travel the 125 m using the speed ramp?

Answer 1

32.78843 seconds

Step-by-step explanation:

Distance = 125 m/s

`v_r` = Velocity of ramp = 2.1 m/s

Velocity of walking is given by

`v_w=(Distance)/(Time)\\\Rightarrow v_w=(125)/(73)\\\Rightarrow v_w=1.71232\ m/s`

Total speed when we are on the ramp is given by

`v=v_r+v_w\\\Rightarrow v=2.1+1.71232\\\Rightarrow v=3.81232\ m/s`

Time taken is given by

`t=(Distance)/(Velocity)\\\Rightarrow t=(125)/(3.81232)\\\Rightarrow t=32.78843\ s`

The time taken would be 32.78843 seconds