Two people meet in the purple room on the fourth floor of a building. on departure, one person travels west 16 feet, south 9 feet, and down 9 feet. the other person travels north 16 feet, east 8 feet, and up 9 feet. how far apart are the two people?

To solve this word problem, I am going to first look at what I know.
1) They are in the purple room on the fourth floor of a building.
2) We know that they went separate ways. 
Person 1:
Travels west 16 feet. So this person traveled left 16 feet and is on the same floor.
Travels south 9 feet. This person traveled down 9 feet.
Travels Down 9 feet. Travels down again at 9 feet.
Person 1 went to the left 16 feet and down 18 feet from starting point in the purple room. 
Person 2:
Travels North 16 feet. Travels up 16 feet.
Travels East 8 feet. Travels right 8 feet. 
Travels up 9 feet. Travels up 9 feet. 
The person on went up 25 feet and to the right 8 feet.
Now, we are going to subtract the opposites from each person (left, right) (up, down)
Equation 1 looks like this: 25-(-18) The 18 is negative because person 1 went down from starting point. - and - equals a positive. So, 25+18= 43
Equation 2 looks like this: (-16)-8 The answer is 24 feet.
So, they are 43 feet away from each other vertically and 24 horizontally. 
Hope this helps!

Iwould like to think so. what’s the question you need with?