document.write( "Question 620145: 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.
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Algebra.Com's Answer #389966 by MathTherapy(10552)\"\" \"About 
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
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\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 (\"30%2F60\", or ˝ hour)\r
\n" ); document.write( "\n" ); document.write( "\"150%2F%28S+%2B+30%29+%2B+65%2F%28S+-+30%29+=+%281%2F2%29\"\r
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\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
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\n" ); document.write( "\n" ); document.write( "\"300S+-+9000+%2B+130S+%2B+3900+=+S%5E2+-+900\"\r
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\n" ); document.write( "\n" ); document.write( "\"430S+-+5100+=+S%5E2+-+900\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"S%5E2+-+430S+-+900+%2B+5100+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"S%5E2+-+430S+%2B+4200+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "(S - 10)(S - 420) = 0\r
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\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
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\n" ); document.write( "\n" ); document.write( "S, or speed of plane in still air = \"highlight_green%28420%29\" km/h \r
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\n" ); document.write( "\n" ); document.write( "I’ll leave the check up to you.\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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