A plane dlies 720 mi against a steady 30mih headwind and the
A plane dlies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h. what is the plan\'s speed in still air?
Solution
720/(R-30)+720/(R+30)=10
 [720(R+30)+720(R-30)]/(R-30)(R+30)=10
 (720R+21600+720R-21600)/(R^2-900)=10 NOW CROSS MULTIPLY
 10(R^2-900)=1440R
 10R^2-1440R-9000=0
 R^2-144R-900
 (R-150)(R+6)=0
 R-150=0
 R=150 ANSWER FOR THE SPEED OF THE PLANE IN STILL AIR.
 PROOF
 720/180+720/120=10
 4+6=10
 10=10

