contestada

a certain aircraft can fly 798 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
How do I set up the equations?

Respuesta :

frika

Answer:

76 mph

Step-by-step explanation:

Let x mph be the speed of the aircraft and y mph be the speed of the wind.

With the wind:

Distance = 798 miles

Time = 3 hours

Speed = x + y mph

Then

[tex]3(x+y)=798\\ \\x+y=266[/tex]

Against the wind:

Time = 7 hours

Speed = x - y mph

Then

[tex]7(x-y)=798\\ \\x-y=114[/tex]

Add these two equations:

[tex]x+y+x-y=266+114\\ \\2x=380\\ \\x=190\ mph[/tex]

Subtract these two equations:

[tex](x+y)-(x-y)=266-114\\ \\x+y-x+y=152\\ \\2y=152\\ \\y=76\ mph[/tex]

The speed of the aircraft is 190 mph, the speed of the wind is 76 mph

Otras preguntas