document.write( "Question 26709: With a tailwind, a plane can fly 450 miles in 3 hours. The return trip takes 5 hours Find the speed of ther plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #14510 by Paul(988)\"\" \"About 
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Let the speed of the plane be x
\n" ); document.write( "Let the speed of the wind be y
\n" ); document.write( "3(x+y)=450---------->3x+3y=450
\n" ); document.write( "Solve for y
\n" ); document.write( "3y=450-3x
\n" ); document.write( "y=150-x (subsituion)\r
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\n" ); document.write( "\n" ); document.write( "Second equation:
\n" ); document.write( "5(x-y)=450 ----->5x-5y=450 (use subsitution)
\n" ); document.write( "5x-5(150-x)=450
\n" ); document.write( "5x+5x-750=450
\n" ); document.write( "10x=1200
\n" ); document.write( "x=120\r
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\n" ); document.write( "\n" ); document.write( "3(120)+3y=450
\n" ); document.write( "360+3y=450
\n" ); document.write( "3y=90
\n" ); document.write( "y=30\r
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\n" ); document.write( "\n" ); document.write( "Hence, the speed of the plane is 120mph and the speed of the wind is 30mph.
\n" ); document.write( "Paul.
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