document.write( "Question 348379: A plane that can fly 200 mph in still air makes a 330 mile flight with a tail wind and returns, flying into the same wind. What is the speed of the wind if the total flying time is 3 1/2 hours? \n" ); document.write( "
Algebra.Com's Answer #249060 by checkley77(12844)\"\" \"About 
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3.5=330/(200+20)+330/(200-20)
\n" ); document.write( "3.5=330/220+330/180
\n" ); document.write( "3.5=1.5+1.833
\n" ); document.write( "3.5=3.333 DOESN'T EQUATE TO A PROOF.
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\n" ); document.write( "D=RT
\n" ); document.write( "T=D/R
\n" ); document.write( "3.5=330/(200+W)+330/(200-W)
\n" ); document.write( "3.5=[330(200-W)+330(200+W)]/(200+W)(200-W)
\n" ); document.write( "3.5=[66,000-330W+66,000+330W)/(40,000-W^2)
\n" ); document.write( "3.5=132,000/(40,000-W^2) CROSS MULTIPLY.
\n" ); document.write( "3.5(40,000-W^2)=132,000
\n" ); document.write( "140,000-3.5W^2=132,000
\n" ); document.write( "-3.5W^2=132,000-140,000
\n" ); document.write( "-3.5W^2=-8,000
\n" ); document.write( "W^2=-8,000/-3.5
\n" ); document.write( "W^2=2286
\n" ); document.write( "W=SQRT2286
\n" ); document.write( "W=47.81 MPH FOR THE HEAD WIND.
\n" ); document.write( "PROOF:
\n" ); document.write( "3.5=330/(200+47.81)+330/(200-47.81)
\n" ); document.write( "3.5=330/247.81+330/152.19
\n" ); document.write( "3.5=1.33+2.168
\n" ); document.write( "3.5~3.5
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