Question

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.

Answer 1

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

Answer 2

boxes are -

Answer 3

If you think about what these numbers represent than you can see which one is correct.
x and y is speed: miles per hour
120 is distance so miles
For example you can see that x − y = 120 is nonsense
miles/hour - miles/hour = miles

Answer 4

Oh and 0.75 and 1 is hour

Answer 5

So the only two equations that can be true are 3 and 4. Just think about what they mean and you will be able to solve it