SOLUTION: an airplane flying against the wind travels 140 miles in the same amount of time it would take the same plane to travel 160 miles with the wind. if the wind speed is a constant 20

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: an airplane flying against the wind travels 140 miles in the same amount of time it would take the same plane to travel 160 miles with the wind. if the wind speed is a constant 20       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 832093: an airplane flying against the wind travels 140 miles in the same amount of time it would take the same plane to travel 160 miles with the wind. if the wind speed is a constant 20 miles per hour, what is the speed of the plane in still air
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Plane speed x mph
wind speed 20 mph

against wind x - 20 mph
with wind x + 20 mph

Distance against wind 140
Distance with wind 160
Time = same equate the time against with time with current
t=d/r
140 /(x- 20 )= 160 /(x+ 20 )
140 *(x+ 20 )= 160 *(x- 20 )
140 x + 2800 = 160 x -3200
140 x -160 x = -3200 + -2800
-20 x = -6000
/ -20
x= 300 mph
m.ananth@hotmail.ca