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

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 spee

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