document.write( "Question 1024716: An airplane flies 500 mi/h in still air. Flying with the jet stream, the plane travels 1200 mi from City A to City B. The plane then returns to City A, flying against the jet stream. The round-trip flight time is 5 h. What is the speed of the jet stream in miles per hour? \n" ); document.write( "
Algebra.Com's Answer #640087 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An airplane flies 500 mi/h in still air. Flying with the jet stream, the plane travels 1200 mi from City A to City B. The plane then returns to City A, flying against the jet stream. The round-trip flight time is 5 h. What is the speed of the jet stream in miles per hour? \n" ); document.write( "---- \n" ); document.write( "With wind DATA: \n" ); document.write( "dist = 1200 mi ; rate = 500+w mph ; time = 1200/(500+w) hrs \n" ); document.write( "------------------ \n" ); document.write( "Against wind DATA: \n" ); document.write( "dist = 1200 mi ; tate = 500-w mph ; time = 1200/(500-w) hrs \n" ); document.write( "------------------ \n" ); document.write( "time + time = 5 hrs. \n" ); document.write( "1200/(500+w) + 1200/(500-w) = 5 hrs \n" ); document.write( "-------------------------------------------- \n" ); document.write( "1200(500-w) + 1200(500+w) = 5(500^2-w^2) \n" ); document.write( "--------------------------------------- \n" ); document.write( "1200000 = 5(250000) - 5w^2 \n" ); document.write( "------------------------------------ \n" ); document.write( "5w^2 = 50,000 \n" ); document.write( "w^2 = 10,000 \n" ); document.write( "wind = 100 mph \n" ); document.write( "--------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |