Aplane travels 800 miles in 5 hours with the wind. it went the same distance in 8 hours when flying aginst the wind. find the rate of the wind

X = planes speed
y = wind speed

x +y = plane with wind
x-y = plane against wind

800 = 4(x+y)    4 hours to travel 800 miles with the wind

800 = 8(x-y)     8 hours to travel 800 miles against the wind

distribute the 2 formulas:

4x +4y = 800
8x -8y = 800

multiply 1st equation by 2 ( 8x +8y = 1600 )

add the 1st and 2nd equations:

8x + 8y = 1600
8x - 8y = 800

16x = 2400

divide both sides by 16

x = 2400 / 16

x = 150

use original 1st formula to solve for y ( wind speed)

4x +4y = 800
4(150) + 4y = 800
600 + 4y = 800

subtract 600 from each side:

4y = 200

divide both sides by 4

y = 200 / 4
y = 50

wind speed = 50 miles per hour

Thats where they was ported and the fields that noone really knew much about needed tended, so they put slaves out there do free work and huge profits and so on the north decided to hold its own and was more different way of survival did not have same climate conditions to afford protecting slaves from winter so expenses be diff from south