SOLUTION: Flying with the wind, a plane flew 1000 miles in 5hours. Flying against the wind, the plane could fly only 500 miles in the same amount of time. Find the speed of the plane in calm

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Flying with the wind, a plane flew 1000 miles in 5hours. Flying against the wind, the plane could fly only 500 miles in the same amount of time. Find the speed of the plane in calm      Log On


   

Question 675475: Flying with the wind, a plane flew 1000 miles in 5hours. Flying against the wind, the plane could fly only 500 miles in the same amount of time. Find the speed of the plane in calm air and the speed of the wind. PLEASE show work! It is greatly appreciated!
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
use the equation
distance=speed * time
v=the speed
w=the wind
going with the wind 1000(v+w)(5) or 200=v+w
against the wind 500=(v-w)(5) or 100= v-w
add the two
300= 2v,v=150mph
subtract equation
100= 2w or w=50mph
answer is 50mph