SOLUTION: An airplane whos speed through the air is 500 km/h covers a distance over the ground of 1000 km in 2.5 h. How fast was the wind against it?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: An airplane whos speed through the air is 500 km/h covers a distance over the ground of 1000 km in 2.5 h. How fast was the wind against it?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 338571: An airplane whos speed through the air is 500 km/h covers a distance over the ground of 1000 km in 2.5 h. How fast was the wind against it?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane whose speed through the air is 500 km/h covers a distance over the
ground of 1000 km in 2.5 h. How fast was the wind against it?
:
Let w = speed of the wind
:
Write a dist equation: dist = time * speed
2.5(500-w) = 1000
1250 - 2.5w
-2.5w = 1000 - 1250
-2.5w = -250
w = %28-250%29%2F%28-2.5%29
w = +100 mph is the rate of the wind
;
:
Check solution find the distance: 2.5(500 - 100) = 1000