SOLUTION: A helicopter flies 172 miles against the wind in 2 hours. With the wind it can fly 258 miles in the same amount of time. Find the speed of the helicopter in still air.

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Question 801743: A helicopter flies 172 miles against the wind in 2 hours. With the wind it can fly 258 miles in the same amount of time. Find the speed of the helicopter in still air.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A helicopter flies 172 miles against the wind in 2 hours. With the wind it can fly 258 miles in the same amount of time. Find the speed of the helicopter in still air.
***
let x=speed of helicopter in still air
let c=speed of wind
x+c=speed of helicopter with the wind
x-c=speed of helicopter against the wind
distance = speed *travel time
..
in 1 hr, helicopter travels 172/2=86 miles against the wind
in 1 hr, helicopter travels 258/2=129 miles with the wind
..
86=(x-c)(1)
129=(x+c)(1)
add
2x=215
x=107.5 mph
speed of helicopter in still air=107.5 mph