An aircraft travels with the wind for 120 miles in 0.75 of an hour. the return trip is flown against the wind and takes exactly 1 hour.

which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? recall the formula d = rt.

0.75(x + y) = 120
x − y = 120

0.75(x − y)= 120
x + y = 120

120(x + y) = 0.75
120(x − y) = 1

120(x − y) = 0.75
120(x + y) = 1

Option A is the answer.

Step-by-step explanation:

Let x the speed of plane and y be the speed of wind in miles per hour.

(1) When aircraft travels with the wind then speed of the plane will be = ( x + y) miles per hour.

And this speed is equal to miles per hour.

So equation will be

( x + y ) =

0.75 ( x+y ) = 120

(2) When aircraft travels against the wind speed of the aircraft will be ( x-y ) km/hour

Aircraft travels 120 miles in 1 hour

so equation will  be

( x-y ) =

So system of equations will be

0.75 (x+y) = 120 and ( x-y ) = 120

Option A is the answer.

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