document.write( "Question 623037: an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is600 km/h
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document.write( "what is the speed of the wind.
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document.write( " I have the total distance travelled to be 990+990=1980
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document.write( "Total time 200 min rtn or 100 min each way\r
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document.write( "Then I am stuck \n" );
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Algebra.Com's Answer #391814 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is 600 km/h \n" ); document.write( "what is the speed of the wind. \n" ); document.write( "** \n" ); document.write( "let x=speed of wind \n" ); document.write( "600+x=speed of plane with tail wind \n" ); document.write( "600-x=speed of plane into wind \n" ); document.write( "Total flying time=3hr+20min=20+1/3 hr=10/3 hr \n" ); document.write( "Travel time = distance/speed \n" ); document.write( ".. \n" ); document.write( "990/(600+x)+990/(600-x)=10/3 \n" ); document.write( "LCD:3(600+x)(600-x) \n" ); document.write( "3*990(600-x)+3*990(600+x)=10(600+x)(600-x) \n" ); document.write( "3*990(600+x+600-x)=10(360000-x^2) \n" ); document.write( "(3*990*1200)/10=360000-x^2 \n" ); document.write( "356400=360000-x^2 \n" ); document.write( "x^2=360000-356400 \n" ); document.write( "x^2=3600 \n" ); document.write( "x=√(3600) \n" ); document.write( "x=60 \n" ); document.write( "speed of wind=60 km/hr \n" ); document.write( " \n" ); document.write( " |