algebra

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A Boeing 747 flies 2420 miles with the wind. In the same amount of time, it can fly 2140 miles against the wind. The cruising speed ( in still air) is 570 mph. Find the speed of the wind.

  • algebra -

    time with the wind = 2420/(570+x)
    time against the wind = 2140/(570-x)
    but these two times are equal

    2420/(570+x) = 2140/(570-x)
    1219800 + 2140x = 1379400 - 2420x
    4560x = 159600
    x = 35

    the speed of the wind is 35 mph

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