document.write( "Question 50117: I have really been struggling with this chapter especialy section 5.6 Applications of Rational Expressions. I guess the story problems are wearing me down. could you please help me to see these in a better light? I tried setting it up however I know I am going about it wrong.\r
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document.write( "Sec 5.6 N 26
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document.write( "Science and medicine. A plane flies 720 mi against a steady 30-mi/h head wind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?
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document.write( "(720/x+30)+ (720/x-30)=10
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Algebra.Com's Answer #33314 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A plane flies 720 mi against a steady 30-mi/h head wind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air? \n" ); document.write( "------------------------- \n" ); document.write( "With the wind DATA: \n" ); document.write( "distance = 720 mi ; rate = p+30 mph ; time = d/r= 720/(p+30) \n" ); document.write( "----------- \n" ); document.write( "Against the wind DATA: \n" ); document.write( "distance = 720 mi ; rate = p-30 mph ; time = d/r = 720/(p-30) \n" ); document.write( "--------- \n" ); document.write( "EQUATION: \n" ); document.write( "time + time = 10 hrs. \n" ); document.write( "720/(p+30) + 720/(p-30)= 10 \n" ); document.write( "72/(p+30) + 72/(p-30)= 1 \n" ); document.write( "72p+72p = p^2-900 \n" ); document.write( "p^2-144p-900=0 \n" ); document.write( "(p-150)(p+6)=0 \n" ); document.write( "plane speed = 150 mph \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |