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Question 8 (1 point)

Flying with the wind a plane went 189 km/h. Flying into the same wind the plane only went 155

km/h. Find the speed of the wind and the speed of the plane in still air. (write and solve a system

of equations)

Respuesta :

Answer:

The Speed of the plane in still air and wind are  172 and 17 km per hour respectively

Step-by-step explanation:

Let the speed of the plane in still air and speed of wind are  

P  and  W  km per hour.

The speed of the plane with wind is  

P+W=189 km per hour   ______________ (1)      

The speed of the plane against wind is

P-W=155 km per hour __________________  (2)

Now Adding equations (1) and (2)  we get

  P+W=189

[tex]P-W=155[/tex]

______________

[tex]2P=344[/tex]

[tex]P=\frac{344}{2}[/tex]

∴  P=172

Substituting the values of P in the equation (1) we get  

[tex]172+W=189[/tex]

[tex]W=189-172[/tex]

[tex]W=17[/tex]

∴  W=17

∴ the values of P and W are 172 ad 17 respectively

Hence the Speed of the plane in still air and wind are  172 and 17 km per hour respectively.

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