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

Question

Mathematics

Simone Foster

8 February, 18:42

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

+1

Answers (1)

Know the Answer?

Evelyn Wood · Answer 1

The first equation

0.75 (x+y) = 120

(x-y) = 120

Because

speed=distance by time

so speed * time = distance

0.75 and 1 hour is time and x+y and x-y is speed of plane depending on whether it flies against the wind or with the wind