SOLUTION: In the time it takes to fliy 360 miles with a head wind, she can only fly 240 mies against the headwind. if the speed of the plane in stll air is 150 mph, find the wind speed.

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Question 139664: In the time it takes to fliy 360 miles with a head wind, she can only fly 240 mies against the headwind. if the speed of the plane in stll air is 150 mph, find the wind speed.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
In the time it takes to fly 360 miles with a head wind, she can only fly 240 mies against the headwind. if the speed of the plane in still air is 150 mph, find the wind speed.
:
Let x = the wind speed
then
(150-x) = ground speed against the wind
and
(150+x) = ground speed with the wind
:
write a time equation: Time = dist/speed
:
With time = Against time
=
Cross multiply
240(150+x) = 360(150-x)
;
36000 + 240x = 54000 - 360x
:
240x + 360x = 54000 - 36000
:
600x = 18000
x =
x = 30 mph is the wind speed
:
:
Check solution in original equation: Against speed = 120, With speed = 180
= ; confirms our solution