document.write( "Question 246104: A plane flew for 576 miles directly into a strong wind and then flew back with the same wind. If the total flying time was 5 hours, and the plane's airspeed was 250 mph, what was the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #179746 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Let x = air speed\r
\n" ); document.write( "\n" ); document.write( "250+x = speed with the wind
\n" ); document.write( "250-x= speed against the wind\r
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\n" ); document.write( "\n" ); document.write( "Distance with the wind = Distance against the wind=576
\n" ); document.write( "\"R%2AT%5Bwith%5D=576\"
\n" ); document.write( "\"T%5Bwith%5D=576%2F%28250%2Bx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"R%2AT%5Bagainst%5D=576\"
\n" ); document.write( "\"T%5Bagainst%5D=576%2F%28250-x%29\"\r
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\n" ); document.write( "\n" ); document.write( "TOTAL TIME = 5
\n" ); document.write( "\"576%2F%28250%2Bx%29%2B576%2F%28250-x%29=5\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply both sides by (250-x)(250+x):\r
\n" ); document.write( "\n" ); document.write( "\"576%28250-x%29%2B576%28250%2Bx%29=5%28250-x%29%28250%2Bx%29\"\r
\n" ); document.write( "\n" ); document.write( "\"576%2A250-576x%2B576%2A250%2B576x=5%2862500-x%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "(I'm on vacation, and I don't have my calculator. Use it if you have one!!)\r
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\n" ); document.write( "\n" ); document.write( "\"2%2A576%2A250=312500-5x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"576%2A500=312500-5x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"288000=312500-5x%5E2\"
\n" ); document.write( "\"5x%5E2=312500-288000\"
\n" ); document.write( "\"5x%5E2=24500\"
\n" ); document.write( "\"x%5E2+=4900\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=+sqrt%284900%29\", which I can do even WITHOUT a calculator!!!\r
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\n" ); document.write( "\n" ); document.write( "\"x=+70+\" mph--a pretty strong wind!!\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida
\n" ); document.write( "Altamonte Springs Campus\r
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