SOLUTION: A certain aircraft can fly 798 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?

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Question 1142539: A certain aircraft can fly 798 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
A certain aircraft can fly 798 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours.
What is the speed of the wind?
:
let w = the speed of the wind
let s = the speed of the aircraft in still air
then
3(s+w) = 798, with the wind
and
7(s-w) = 798, against the wind
simplify both equations, divide the 1st eq by 3, the 2nd eq by 7
s + w = 266
s - w = 114
-----------------Subtraction eliminates s, find w
0 + 2w = 152
w = 152/2
w = 76 mph is he speed of the wind
:
;
Check; find the actual dist of each: plane speed: 114 + 76 = 190 mph
3(190+76) = 798
7(190-76) = 798
:

Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
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..., fly 798 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
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