document.write( "Question 176747: Flying against the jetstream, a jet travels 4410km in 9 hours. Flying with the jetstream, the same jet travels 7280 km in 8 hours. What is the speed of the jet in still air, and what is the speed of the jetstream? \r
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document.write( "I saw this question but it was a little different can you help please thanks.
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Algebra.Com's Answer #131827 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Flying against the jetstream, a jet travels 4410km in 9 hours. Flying with the jetstream, the same jet travels 7280 km in 8 hours. What is the speed of the jet in still air, and what is the speed of the jetstream? \n" ); document.write( ": \n" ); document.write( "let x = speed of the jet \n" ); document.write( "let y = jet-stream speed \n" ); document.write( "; \n" ); document.write( "Write a distance equation dist = time*speed \n" ); document.write( "9(x-y) = 4410 \n" ); document.write( "8(x+y) = 7280 \n" ); document.write( "; \n" ); document.write( "simplify: divide the 1st eq by 8 and th 2nd eq by 9: \n" ); document.write( "x - y = 490 \n" ); document.write( "x + y = 910 \n" ); document.write( "---------------adding eliminates y, find x \n" ); document.write( "2x = 1400 \n" ); document.write( "x = 1400/2 \n" ); document.write( "x = 700 km/hr jet speed \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "find y using x - y = 910 \n" ); document.write( "700 + y = 910 \n" ); document.write( "y = 910 - 700 \n" ); document.write( "y = 210 km/hr jet-stream speed \n" ); document.write( "; \n" ); document.write( "you can check solutions in original eq's \n" ); document.write( " |