document.write( "Question 184155: A jet, traveling at an average speed of 420 miles per hour in still air, flew 240 miles and back in 1 hour and 10 minutes. What is the average speed of the wind in mph? \n" ); document.write( "
Algebra.Com's Answer #138221 by checkley77(12844)\"\" \"About 
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240/(420-w)+240/(420+w)=70/60
\n" ); document.write( "[240(420-w)+240(420+w)]/(420+w)(420-w)=70/60
\n" ); document.write( "(100,800-240w+100,800+240w/(176,400-w^2)=70/60
\n" ); document.write( "201,600/(176,400-w^2)=70/60
\n" ); document.write( "60*201,600=70(176,400-70w^2)
\n" ); document.write( "12,096,000=12,348,000-70w^2
\n" ); document.write( "70w^2=-12,096,000+12,348,000=0
\n" ); document.write( "70w^2=252,000
\n" ); document.write( "w^2=252,000/70
\n" ); document.write( "w^2=3600
\n" ); document.write( "w=sqrt3600
\n" ); document.write( "w=60 mph. for the wind.
\n" ); document.write( "Proof:
\n" ); document.write( "240/(420-60)+240/(420+60)=70/60
\n" ); document.write( "240/360+240/480=70/60
\n" ); document.write( "2/3+1/2=7/6
\n" ); document.write( "7/6=7/6\r
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