As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 80 m long and has a speed of 2.0 m/s relative to the ground. If it takes you 70 s to cover 80 m when walking on the ground, how long will it take you to cover the same distance on the walkway? Assume that you walk with the same speed on the walkway as you do on the ground.
helppppp :(
the walkway speed is added to your walking speed
walking ... 80 m / 70 s = 8/7 m/s
with walkway ... 2.0 m/s + 8/7 m/s = 22/7 m/s
time to traverse walkway = 80 m / 22/7 m/s
between 25 and 26 seconds
To find out how long it will take you to cover the same distance on the walkway, we need to consider the speed at which you walk on the walkway.
Let's first determine your walking speed on the walkway. Since you walk with the same speed on the walkway as you do on the ground, your walking speed is equal to the speed of the walkway.
We are given that the speed of the walkway is 2.0 m/s relative to the ground. Therefore, your walking speed on the walkway is also 2.0 m/s.
Now, let's calculate the time it will take you to cover 80 m on the walkway.
Distance = Speed × Time
80 m = (2.0 m/s) × Time
Dividing both sides of the equation by 2.0 m/s, we find:
Time = 80 m / 2.0 m/s
Time = 40 s
Therefore, it will take you 40 seconds to cover the same distance of 80 meters on the walkway.