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)\"\" \"About 
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( "
\n" );