document.write( "Question 224268: A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. How fast was the plane flying out of the jet stream?
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Algebra.Com's Answer #167635 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. \n" ); document.write( "It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. \n" ); document.write( " The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. \n" ); document.write( " How fast was the plane flying out of the jet stream? \n" ); document.write( ": \n" ); document.write( "Let s = speed out of the jet stream \n" ); document.write( "the jet stream rate is 80mph, therefore: \n" ); document.write( "(s+80) = speed in the jet stream \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = time * speed \n" ); document.write( ": \n" ); document.write( "Jet stream distance = out of stream dist + 550 mi \n" ); document.write( "5(s+80) = 4s + 550 \n" ); document.write( "5s + 400 = 4s + 550 \n" ); document.write( "5s - 4s = 550 - 400 \n" ); document.write( "s = 150 mph; speed without the jet stream \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check the solution by finding the dist flown in each case \n" ); document.write( "5(150+80) = 1150 \n" ); document.write( " 4(150) = 600 \n" ); document.write( "----------------- \n" ); document.write( "difference: 550 mi \n" ); document.write( " |