SOLUTION: Flying w/ a tailwind, an airplane travelled 1,120 m. in 7 hrs. w/ a headwind, it took 8 hrs. to travel the same distance. Find the planes speed and the speed of the wind.

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Question 48328: Flying w/ a tailwind, an airplane travelled 1,120 m. in 7 hrs. w/ a headwind, it took 8 hrs. to travel the same distance. Find the planes speed and the speed of the wind.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
First, i think you mean 1120km?

DEFINITION: Let x be the speed of the plane
DEFINITION: Let y be the speed of the wind

travelling with the wind, the speed will be x+y and is equal to 1120/7
--> x+y = 160

travelling against the winde, the speed of the plane will be x-y and this is equal to 1120/8
--> x-y = 140

So,
x+y = 160
x-y = 140

Add these together to give 2x = 300
--> x = 150km/hr

From x+y = 160 we get
150+y = 160
y = 10km/hr

jon