document.write( "Question 312659: I am confused on the following problem:\r
\n" ); document.write( "\n" ); document.write( "During a 3000 mi flight, a plance encountered a strong tail wind that increased its speed by 100 mi/h. This increase in speed shortened the flying time by one hour. Find the speed of the plane relative to the ground. \n" ); document.write( "
Algebra.Com's Answer #223519 by mananth(16949)\"\" \"About 
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distance traveled = 3000 miles.
\n" ); document.write( "let speed of plane in still air be x mph
\n" ); document.write( "speed with tail wind = x+100 mph
\n" ); document.write( "..
\n" ); document.write( "if it had traveled without any wind it would take 3000 / x hours
\n" ); document.write( "with tail wind the time = 3000/x+100.
\n" ); document.write( "..
\n" ); document.write( "It took 1 hour less.
\n" ); document.write( "3000/x - 3000/ x+100 =1
\n" ); document.write( "LCM = x(x+100)\r
\n" ); document.write( "\n" ); document.write( "3000(x+100) - 3000x = x(x+100)
\n" ); document.write( "3000x +300 000 - 3000x = x^2 +100x
\n" ); document.write( "x^2+100x-300000=0
\n" ); document.write( "x^2 +600x-500x-300000=0
\n" ); document.write( "x(x+600)-500(x+600)=0
\n" ); document.write( "(x+600)(x-500)=0
\n" ); document.write( "x=500 mph in still air
\n" ); document.write( "speed with tail wind = 600 mph
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