document.write( "Question 29434: Science and medicine. A plane flies 720 m aginst a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes
\n" ); document.write( "10 h, what is the plane's speed in still air?\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help.
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Algebra.Com's Answer #16224 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
With the wind = x+30
\n" ); document.write( "Against the wind = x-30\r
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\n" ); document.write( "\n" ); document.write( "Equation:
\n" ); document.write( "\"720%2F%28x-30%29%2B720%2F%28x%2B30%29=10\"
\n" ); document.write( "\"720%28%28x-30%29%2B%28x%2B30%29%29=10%28%28x-30%29%28x%2B30%29%29\"
\n" ); document.write( "\"720%282x%29=10%28x%5E2-900%29\"
\n" ); document.write( "\"1440x=10x%5E2-9000\"
\n" ); document.write( "\"10x%5E2-1440x-9000\"
\n" ); document.write( "\"x%5E2-144x-900=0\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x=%28-%28-144%29%2B-sqrt%28%28-144%29%5E2-4%2A1%2A-900%29%29%2F%282%2A1%29\"
\n" ); document.write( "simplfy, you get two solutions:\r
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\n" ); document.write( "\n" ); document.write( "x=-6 and x=150\r
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\n" ); document.write( "\n" ); document.write( "Remove the negative.
\n" ); document.write( "Hence, the speed of the plane is 150mph.
\n" ); document.write( "Paul.
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