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)![]() ![]() ![]() 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( " |