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 mark this and return

System of equation: 0.75(x+y)=120 and x-y=120

A is correct

Step-by-step explanation:

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.

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

Formula:

Case 1: When aircraft along with wind

Speed = x+y

Time = 0.75

Distance = 120

0.75(x+y)=120

Case 2: When aircraft against with wind

Speed = x-y

Time = 1

Distance = 120

x-y=120

Hence, The system of equation are 0.75(x+y)=120 and x-y=120