you decide to ride ann elevator until it takes you to the ground floor withour pushing any buttons the elevator takes you up 4 floors down 6 floors up 1 floor down eight floors down 3 floors up 1 and then down six floors to ground level on what floor did you begin
+ 4 + 1 + 1 = 6 up
-6 - 8 - 3 = 17 down
17 - 6 = 11
Starting at the 6th floor, an elevator went down 3 floors, down 1 floor, up 5 floors, and then down 4 floors
Let's break down the steps:
1. The elevator takes you up 4 floors.
2. Next, it goes down 6 floors.
3. Then, it goes up 1 floor.
4. After that, it goes down 8 floors.
5. It goes up 3 floors.
6. Then, it goes up 1 floor.
7. Finally, it goes down 6 floors to the ground level.
Considering these steps, to determine the original floor, we need to summarize the net movement of the elevator.
Net movement: (4 - 6 + 1 - 8 + 3 + 1 - 6) = -11
Since the net movement is -11, it means you were on the 11th floor above the ground floor. Subtracting this from the ground floor, the original floor you began is:
Ground floor - 11 floors = 11th floor below the ground floor.
So, you began on the 11th floor below the ground floor.
To determine on which floor you began, we need to keep track of the net movement in each direction.
Let's go step by step:
1. The elevator takes you up 4 floors. So the net movement is +4.
2. Then, it goes down 6 floors. The net movement is now -2 (4 - 6 = -2).
3. Next, you go up 1 floor, which increases the net movement to -1 (-2 + 1 = -1).
4. You then go down 8 floors, resulting in -9 net movement (-1 - 8 = -9).
5. After that, you go up 3 floors, so the net movement becomes -6 (-9 + 3 = -6).
6. Following this, you go up 1 floor, changing the net movement to -5 (-6 + 1 = -5).
7. Finally, the elevator goes down 6 floors, resulting in a net movement of -11 (-5 - 6 = -11).
Since the net movement is negative and the elevator took you down 11 floors, you began on the 11th floor above the ground floor.