A traveler is walking on a moving walkway in an airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler’s groundspeed is 2 ft / s against the walkway and 6 ft / s with the walkway. What is the travelers speed off the walkway? What is the speed of the moving walkway?
If his own speed is s, and the walkway's speed is w, then
s+w = 6
s-w = 2
...
To find the traveler's speed off the walkway, we need to calculate the difference between the speed with the walkway and the speed against the walkway.
The traveler's speed with the walkway is 6 ft/s, and the speed against the walkway is 2 ft/s. To find the speed off the walkway, we subtract the speed against the walkway from the speed with the walkway:
Speed off the walkway = Speed with the walkway - Speed against the walkway
= 6 ft/s - 2 ft/s
= 4 ft/s
Therefore, the traveler's speed off the walkway is 4 ft/s.
To find the speed of the moving walkway, we need to calculate the average speed of the traveler on the walkway and the speed off the walkway.
The speed on the walkway is given as 6 ft/s, and the speed off the walkway is calculated to be 4 ft/s. To find the speed of the moving walkway, we subtract the speed off the walkway from the speed on the walkway:
Speed of the moving walkway = Speed on the walkway - Speed off the walkway
= 6 ft/s - 4 ft/s
= 2 ft/s
Therefore, the speed of the moving walkway is 2 ft/s.
To find the traveler's speed off the walkway, we need to calculate the difference between their speed against the walkway and their speed with the walkway.
The traveler's groundspeed against the walkway is given as 2 ft/s, which means they are moving 2 ft every second in the opposite direction of the walkway.
The traveler's groundspeed with the walkway is given as 6 ft/s, which means they are moving 6 ft every second in the same direction as the walkway.
To find the traveler's speed off the walkway, we subtract the speed against the walkway from the speed with the walkway:
Speed off the walkway = Speed with the walkway - Speed against the walkway
= 6 ft/s - 2 ft/s
= 4 ft/s
Therefore, the traveler's speed off the walkway is 4 ft/s.
To find the speed of the moving walkway, we need to find the difference between the traveler's speed with the walkway and their speed off the walkway.
The speed of the moving walkway is the difference between the traveler's speed with the walkway and their speed off the walkway:
Speed of the walkway = Speed with the walkway - Speed off the walkway
= 6 ft/s - 4 ft/s
= 2 ft/s
Therefore, the speed of the moving walkway is 2 ft/s.