document.write( "Question 620145: Hello, I need help in solving this problem:\r
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document.write( "A plane flew 150 kilometers with a 30 km/hr tailwind, then turned into the wind
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document.write( "and flew for another 65 kilometers. If the wind and the plane’s airspeed were
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document.write( "constant and the entire trip took 30 minutes, what was the plane’s airspeed?
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document.write( "(Ignore the time needed to turn the plane around).\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #389966 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Hello, I need help in solving this problem:\r \n" ); document.write( "\n" ); document.write( "A plane flew 150 kilometers with a 30 km/hr tailwind, then turned into the wind \n" ); document.write( "and flew for another 65 kilometers. If the wind and the plane’s airspeed were \n" ); document.write( "constant and the entire trip took 30 minutes, what was the plane’s airspeed? \n" ); document.write( "(Ignore the time needed to turn the plane around).\r \n" ); document.write( "\n" ); document.write( "Thank you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let speed of plane in still air be S \n" ); document.write( "Time taken to travel 150 km, plus time taken to fly 65 km, equals entire time taken ( \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "300(S - 30) + 130(S + 30) = (S + 30)(S - 30) ------ Multiplying by LCD, 2(S + 30)(S – 30)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(S - 10)(S - 420) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S, or speed in still air = 10 (ignore as this is IMPOSSIBLE, because the wind speed CANNOT EXCEED the plane’s speed), OR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S, or speed of plane in still air = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I’ll leave the check up to you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |