SOLUTION: A pilot can travel 468 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind of the pilots speed in still air is 230 miles per ho

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Question 1109600: A pilot can travel 468 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind of the pilots speed in still air is 230 miles per hour
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
v*t=distance; w=wind speed
(230+w)*t=468, so t=468/(230+w)
(230-w)*t=360, so t=360/(230-w)
Therefore 468/(230+w)=360/(230-w)
cross-multiply
107640-468w=82800+360w
24840=828 w
w=30 mph ANSWER
check
with wind speed is 260 mph and it takes 1.8 hours to go 468 miles
against wind speed is 200 mph and it takes 1.8 hours to go 360 miles