document.write( "Question 888990: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.\r
\n" ); document.write( "\n" ); document.write( "wind = 756/18 = 42
\n" ); document.write( "plane = 756/12 + 42 = 105
\n" ); document.write( "

Algebra.Com's Answer #537829 by lwsshak3(11628)\"\" \"About 
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A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.
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\n" ); document.write( "let x=speed of plane in still air
\n" ); document.write( "let c=speed of wind
\n" ); document.write( "(x+c)=speed of plane with wind
\n" ); document.write( "(x-c)=speed of plane against wind
\n" ); document.write( "distance/speed=travel time
\n" ); document.write( "..
\n" ); document.write( "1512/(x+c)=12
\n" ); document.write( "1512/(x-c)=18
\n" ); document.write( "..
\n" ); document.write( "12x+12c=1512
\n" ); document.write( "18x-18c=1512
\n" ); document.write( "..
\n" ); document.write( "36x+36c=4536(mult. by 3)
\n" ); document.write( "36x-36c=3024(mult. by 2)
\n" ); document.write( "add
\n" ); document.write( "72x=7560
\n" ); document.write( "x=105
\n" ); document.write( "12c=1512-12x=252
\n" ); document.write( "c=21
\n" ); document.write( "speed of plane in still air=105 mph
\n" ); document.write( "speed of wind=21 mph\r
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