document.write( "Question 115726: \r
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document.write( "A plane flies 720 miles against a steady 30mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 hrs, what is the plane's speed in still air?\r
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document.write( "720/30 = 10/x
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document.write( "720x = 30*10
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document.write( "720x = 300
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document.write( "720x/720 = 300/720\r
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document.write( "Am I on the right track on solving this problem because the answer I come up with is not a whole number? \n" );
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Algebra.Com's Answer #84304 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "T=D/R \n" ); document.write( "10=720/(R-30)+720/(R+30) COMBINE THE FRACTIONS USING THE COMMON DENOMINATOR: \n" ); document.write( "(R-30)(R+30) \n" ); document.write( "10=[720(R+30)+720(R-30)]/(R-30)(R+30) \n" ); document.write( "10=(720R+21600+720R-21600)/(R^2-900) \n" ); document.write( "10=1440R/(R^2-900) CROSS MULTIPLY \n" ); document.write( "10(R^2-900)=1440R \n" ); document.write( "10R^2-1440R-9000=0 \n" ); document.write( "10(R^2-144R-900)=0 \n" ); document.write( "10(R-150)(R+6)=0 \n" ); document.write( "5-150=0 \n" ); document.write( "R=150 ANSWER FOR THE SPEED OF THE AIRPLANE. \n" ); document.write( "PROOF \n" ); document.write( "10=720/(150-30)+720/(150+30) \n" ); document.write( "10=720/180+720/120 \n" ); document.write( "10=4+6 \n" ); document.write( "10=10 \n" ); document.write( " \n" ); document.write( " |