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Math Help - Flying Speeds

  1. #1
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    Flying Speeds

    Two planes leave Pittsburgh and Philadelphia at the same time, each going to the other city. One plane flies 25 miles per hour faster than the other. Find the air speed of each plane if the cities are 275 miles apart and the planes pass each other after 40 minutes of flying time.
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  2. #2
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    Hello, sniderman!

    Will use: . \text{Distance}\;=\;\text{Speed} \times \text{Time}


    Two planes leave Pittsburgh and Philadelphia at the same time, each going
    to the other city. One plane flies 25 miles per hour faster than the other.
    Find the air speed of each plane if the cities are 275 miles apart
    and the planes pass each other after 40 minutes of flying time.

    Let x = one plane's speed.
    Then x + 25 = other plane's speed.

    In \frac{2}{3} of an hour, the first plane flies: . \frac{2}{3}x miles.

    In \frac{2}{3} of an hour, the other plane flies: . \frac{2}{3}(x+25) miles.


    Together, they cover the 275 miles.

    There is our equation . . . . . \frac{2}{3}x + \frac{2}{3}(x + 25) \;=\;275

    . . Go for it!

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