document.write( "Question 78583: This is the question: A plane flies 720 mi against a steady 30-mi/h headwind
\n" ); document.write( "and then returns to the same point with the wind.
\n" ); document.write( "If the entire trip takes 10 hrs., what is the plane's speed in the air?\r
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Algebra.Com's Answer #56339 by checkley75(3666)\"\" \"About 
You can put this solution on YOUR website!
720/(S-30)+720/(S+30)=10
\n" ); document.write( "[720(S+30)+720(S-30)]/(S-30)(S+30)=10
\n" ); document.write( "(720S+21600+720S-21600)/(S^2-900)=10 COMBINE TERMS & CROSS MULTIPLY
\n" ); document.write( "1440S=10S^2-9000
\n" ); document.write( "10S^2-1440S-9000=0
\n" ); document.write( "S^2-144S-900=0 NOW FACTOR:
\n" ); document.write( "(X-150)(X+6)=0
\n" ); document.write( "X-150=0
\n" ); document.write( "X=150 ANSWER FOR THE SPEED OF THE PLANE IN STILL AIR.
\n" ); document.write( "PROOF
\n" ); document.write( "720/120+720/180=10
\n" ); document.write( "6+4=10
\n" ); document.write( "10=10
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