SOLUTION: Joe traveled against the wind in a small plane for 3 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane in still air is 180mph.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Joe traveled against the wind in a small plane for 3 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane in still air is 180mph.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 18444: Joe traveled against the wind in a small plane for 3 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane in still air is 180mph.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Joe traveled against the wind in a small plane for 3 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane in still air is 180mph.
let the wind speed be = x mph
speed of the plane in still air is 180mph...
hence speed against the wind =180-x
time of travel against wind =3 hrs
we have distance travelled=d =speed*time=3*(180-x)=540-3x
speed pro wind =180+x
time of travel pro wind=2.8 hrs
hence distance travelled=d =speed*time=2.8*(180+x)=504+2.8x
so 504+2.8x=540-3x
2.8x+3x=540-504=36
5.8x=36
x=36/5.8=360/58=180/29 mph