document.write( "Question 127218: My math teacher, unfortunately, never taught me how to do this kind of supposed \"mixture\" problem: With a tailwind, a jet flew 2000 miles in 8 hours, but the return trip against the wind required 10 hours. Find the jet's speed and the wind speed. \n" ); document.write( "
Algebra.Com's Answer #93190 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
With a tailwind, a jet flew 2000 miles in 8 hours, but the return trip against the wind required 10 hours. Find the jet's speed and the wind speed.
\n" ); document.write( "----------------------
\n" ); document.write( "With tailwind DATA:
\n" ); document.write( "Distance = 2000 miles ; Time = 8 hrs. ; Rate = 2000/8 = 250 mph
\n" ); document.write( "------------------
\n" ); document.write( "Return trip DATA:
\n" ); document.write( "Distance = 2000 miles ; Time = 10 hrs. ; Rate = 2000/10 = 200 mph
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Let p be plane speed with no wind; Let w be the speed of the wind.
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "p+w = 250 mph
\n" ); document.write( "p-w = 200 mph
\n" ); document.write( "---------
\n" ); document.write( "Add the two equations to solve for \"p\":
\n" ); document.write( "2p = 450
\n" ); document.write( "p = 225 mph (speed of the plane with no wind)
\n" ); document.write( "------------
\n" ); document.write( "Subsitute to solve for w:
\n" ); document.write( "225 + w = 250
\n" ); document.write( "w = 25 mph (speed of the wind)
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );