SOLUTION: mark is piloting a plane at 12,000 feet and begins to descends at a rate of 250 feet per minute. At same time, Debbie is 6,000 feet in her plane and begins to climb at a rate of 60

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: mark is piloting a plane at 12,000 feet and begins to descends at a rate of 250 feet per minute. At same time, Debbie is 6,000 feet in her plane and begins to climb at a rate of 60      Log On


   

Question 910581: mark is piloting a plane at 12,000 feet and begins to descends at a rate of 250 feet per minute. At same time, Debbie is 6,000 feet in her plane and begins to climb at a rate of 60 feet per minute. write a system of equations representing the situation.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What you want is- if you know Mark's height,
you can find Debbie's height and vice versa
------------
Let +t+ = time in minutes starting when Mark is at
12,000 ft and Debbie is at 6,000 ft
------------
Mark's equation:
+h%5Bm%5D+=+12000+-+250t+
Debbie's equation:
+h%5Bd%5D+=+6000+%2B+60t+
----------------------
+Let+%7B%7B%7B+D+=+h%5Bm%5D+-+h%5Bd%5D+
+D+=+12000+-+250t+-+%28+6000+%2B+60t+%29+
+D+=+12000+-+250t+-+6000+-+60t+
+D+=+6000+-+310t+
---------------------
If you know one of their heights, you can find the other