SOLUTION: plane A is 40 miles south and 100 miles east of plane B. plane A is flying 2 miles west for ever mile it flies north, while plane B is flying 3 miles east for every mile it flies

Question 510833: plane A is 40 miles south and 100 miles east of plane B. plane A is flying 2 miles west for ever mile it flies north, while plane B is flying 3 miles east for every mile it flies south. where do there paths cross?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
plane A is 40 miles south and 100 miles east of plane B. plane A is flying 2 miles west for ever mile it flies north, while plane B is flying 3 miles east for every mile it flies south. where do there paths cross?
:
Write a linear equation for the line taken by each plane
With O origin,
Plane B: When x = 0, y = 40
"plane B is flying 3 miles east for every mile it flies south."
Using the rise/run rule the slope will be -1/3 (negative because it's moving southward)
y = -x + 40

:
Plane A: x intercept = +100, find the y intercept
"plane A is flying 2 miles west for ever mile it flies north,"
Slope = -1/2; find the y intercept (b)
(100) + b = 0
-50 + b = 0
b = 50
the equation for A: y = -x + 50, plot this with B
intercept x=60 mi east, y=20 mi north