document.write( "Question 94226: A plane flies 400 miles with the wind and 320 miles against the wind in the same lenght of time. If the speed of the wind is 24 mph, what is the speed of the plane in still air? \n" ); document.write( "
Algebra.Com's Answer #68601 by stanbon(75887)\"\" \"About 
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A plane flies 400 miles with the wind and 320 miles against the wind in the same lenght of time. If the speed of the wind is 24 mph, what is the speed of the plane in still air?
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\n" ); document.write( "Let the speed in still air be \"x\"
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\n" ); document.write( "With the wind DATA:
\n" ); document.write( "distance = 400 miles; rate = x+24 mph ; time = d/r = 400/(x+24) hrs.
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\n" ); document.write( "Against the wind DATA:
\n" ); document.write( "distance = 320 miles ; rate = x-24 mph ; time = d/r = 320/(x-24)
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\n" ); document.write( "EQUATION:
\n" ); document.write( "time with = time against
\n" ); document.write( "400/(x+24) = 320/(x-24)
\n" ); document.write( "5/(x+24) = 4/(x-24)
\n" ); document.write( "5(x-24) = 4(x+24)
\n" ); document.write( "5x-120 = 4x+96
\n" ); document.write( "x = 216 mph (rate of the plane in still air)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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