SOLUTION: Hazel and emilie fly from city A to city B. The flight from A to B is against the wind and takes 2 hrs. The return flight with the wind takes 1.5hrs. If the wind speed is 44mph, f

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Question 1144878: Hazel and emilie fly from city A to city B. The flight from A to B is against the wind and takes 2 hrs. The return flight with the wind takes 1.5hrs. If the wind speed is 44mph, find the speed of the plane in still air.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the speed of the plane at no wind (the unknown value under the question).


Then from the condition, we have this equation


    2(x - 44) = 1.5*(x + 44).


It says that the distance is the same in both directions.


Simplify and solve for x


    2x - 88 = 1.5x + 66

    2x - 1.5x = 66 + 88

    0.5x = 154

       x = 154%2F0.5 = 308.


ANSWER.  The speed of the plane in still air is 308 miles per hour.