document.write( "Question 26024: To measure the speed of the jet stream, a weather plane left its base at noon and flew 800km directly against the stream with an air speed of 750 km/h. It then returned directly to its base, arriving at 2:24 P.M. What was the speed of the jet stream?
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Algebra.Com's Answer #13979 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Dividing 800km by 750km you get 1.066666 hrs. or 64 min. \n" ); document.write( "The roundtrip, according to your posting, is 144 min. \n" ); document.write( "So,the return trip took 80 min. \n" ); document.write( "That would mean the return trip was against the wind. \n" ); document.write( "Using d=rt you have this kind of data: \n" ); document.write( "Flight out Data: \n" ); document.write( " distance=800km; time=64min; rate=750km/hr \n" ); document.write( "Flight back Data: \n" ); document.write( " distance=800km; time=80min; rate=800km/80min=10km/min=600km/hr \n" ); document.write( "Let plane speed be \"p\" and wind speed be \"w\" \n" ); document.write( "Down wind you have: p+w=750km/hr \n" ); document.write( "Against wind you have: p-w=600km/hr \n" ); document.write( "Solve that system for P and w: \n" ); document.write( "Adding the equations you get 2p=1350 \n" ); document.write( " p=675km/hr \n" ); document.write( "Substituting you get p+w=750 \n" ); document.write( " 675+w=750 \n" ); document.write( " w=75 \n" ); document.write( "The wind speed is 75km/hr\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |