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 #391789 by Alan3354(69443)![]() ![]() 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 is600 km/h \n" ); document.write( "what is the speed of the wind. \n" ); document.write( " I have the total distance travelled to be 990+990=1980 \n" ); document.write( "Total time 200 min rtn or 100 min each way \n" ); document.write( "**************** \n" ); document.write( "It's not 100 mins each way. Downwind ground speed is greater than upwind. \n" ); document.write( "----------- \n" ); document.write( "d = distance one way \n" ); document.write( "d/(600 + w) + d/(600 - w) = 10/3 hours \n" ); document.write( "990/(600 + w) + 990/(600 - w) = 10/3 hours \n" ); document.write( "Multiply by 3*(660 + w)*(600 - w) \n" ); document.write( "2970*(600 - w) + 2970*(600 + w) = 10*(600 + w)*(600 - w) \n" ); document.write( "297*1200 = 360000 - w^2 \n" ); document.write( "w^2 = 360000 - 356400 = 3600 \n" ); document.write( "w = 60 km/hr \n" ); document.write( " |