SOLUTION: The cruising speed of an airplane is 320 miles per hours. With the wind the airplane can cover a certain distance in 6 hours, but against the wind it can cover only 7/8 of that di
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Question 839065: The cruising speed of an airplane is 320 miles per hours. With the wind the airplane can cover a certain distance in 6 hours, but against the wind it can cover only 7/8 of that distance in 6 hours. Find the velocity of the wind.
320 miles per hour= 1920 and 7/8 of that is 1680. I tried to set up the equations and got
1920=W+speed
1680= speed-w
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The cruising speed of an airplane is 320 miles per hours.
With the wind the airplane can cover a certain distance in 6 hours, but against the wind it can cover only 7/8 of that distance in 6 hours.
Find the velocity of the wind.
:
Let's do it this way.
:
Let w = the velocity of the wind
then
Original distance = 6(320+w)
Against distance = 6(320-w)
the equation
6(320-w) = *6(320+w)
divide both sides by 6
(320-w) = *(320+w)
multiply both sides by 8
8(320-w) = 7(320+w)
2560 - 8w = 2240 + 7w
2560 - 2240 = 7w + 8W
320 = 15w
w = 320/15
w = 21 mph, rate of the wind
:
:
You can check this on a calc
6(320+21.33) *
see if it equals
6(320-21.333)
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