SOLUTION: a helicopter flies 328 miles against the wind in 2 hours. with the wind it can fly 492 miles in the same amount of time. find the speed of the helicopter in still air.

Question 1033583: a helicopter flies 328 miles against the wind in 2 hours. with the wind it can fly 492 miles in the same amount of time. find the speed of the helicopter in still air.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let h = speed of helicopter in still air, and w = speed of the wind.
Use the formula D = R*T.
From the first sentence, we get 328 = 2(h-w), and from the second sentence, we get
492 = 2(h+w).
==> 164 = h-w, and 246 = h+w, after simplification.
==> 410 = 2h, after adding corresponding sides of the two previous equations.
==> h = 205 miles per hour, the speed of the helicopter in still air.
Again other tutors are welcome to elaborate more on the solution if they wish so.
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