document.write( "Question 26425: An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air. \n" ); document.write( "
Algebra.Com's Answer #14266 by Paul(988)\"\" \"About 
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Let the speed of the plane be y
\n" ); document.write( "Let the speed of the wind be x
\n" ); document.write( "1 2/3 = 5/3
\n" ); document.write( "Against = -
\n" ); document.write( "With = +\r
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\n" ); document.write( "\n" ); document.write( "2(x-y)=600 ------>2x-2y=600 (solve for y)
\n" ); document.write( "x-y=300
\n" ); document.write( "y=300+x (subsitution)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285%28x%2By%29%29%2F3=600\"---->\"5x%2F3%2B5y%2F3=600\" apply subsitution.
\n" ); document.write( "\"5x%2F3%2B%285%28300%2Bx%29%29%2F3=600\"
\n" ); document.write( "\"5x%2F3%2B%281500%2B5x%29%2F3=600\" ---> Remove the fraction by multipling the equation by 3.
\n" ); document.write( "\"3%285x%2F3%29%2B3%28%281500%2B5x%29%2F3%29=3%28600%2F1%29\"
\n" ); document.write( "5x+1500+5x=1800
\n" ); document.write( "10x=300
\n" ); document.write( "x=30
\n" ); document.write( "y=300+(30)
\n" ); document.write( "y=330\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence, the speed of the wind is 30 mph and the speed of the plane is 330 mph (in still air).
\n" ); document.write( "Paul.
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