document.write( "Question 192773: A plane cruises at 180mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the speed? \n" ); document.write( "
Algebra.Com's Answer #144699 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! dist =vel *time \n" ); document.write( "divide by vel \n" ); document.write( "time=distance/velocity\r \n" ); document.write( "\n" ); document.write( "Let x= wind velocity \n" ); document.write( "given base velocity of 180\r \n" ); document.write( "\n" ); document.write( "1) 7/(180+x) =time with wind\r \n" ); document.write( "\n" ); document.write( "2) 5/ (180-x) = time against wind\r \n" ); document.write( "\n" ); document.write( "given t1=t2\r \n" ); document.write( "\n" ); document.write( "7/(180+x) =5/(180-x)\r \n" ); document.write( "\n" ); document.write( "cross multiply\r \n" ); document.write( "\n" ); document.write( "7(180-x)=5(180+x)\r \n" ); document.write( "\n" ); document.write( "1260-7x=900+5x\r \n" ); document.write( "\n" ); document.write( "subt 900, add 7x to each side\r \n" ); document.write( "\n" ); document.write( "1260-900=5x+7x \n" ); document.write( "360=12x \n" ); document.write( "divide by 12 \n" ); document.write( "30 = x ANSWER (MPH)\r \n" ); document.write( "\n" ); document.write( "check \n" ); document.write( "7/(180+30)=5/(180-30)\r \n" ); document.write( "\n" ); document.write( "7/210=5/150 \n" ); document.write( ".0333=.0333 ok \n" ); document.write( " |