document.write( "Question 529189: a plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind.The return trip,with a head wind,took 5 h.Find the speed of the plane in still air and the wind speed \n" ); document.write( "
Algebra.Com's Answer #349537 by ankor@dixie-net.com(22740)\"\" \"About 
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a plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind.
\n" ); document.write( "The return trip,with a head wind,took 5 h.
\n" ); document.write( "Find the speed of the plane in still air and the wind speed
\n" ); document.write( ":
\n" ); document.write( "Let s = the speed of the plane
\n" ); document.write( "Let w = speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(s+w) = effective speed with the wind
\n" ); document.write( "and
\n" ); document.write( "(s-w) = effective speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each trip, dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "5(s-w) = 2200
\n" ); document.write( "4(s+w) = 2200
\n" ); document.write( "Simplify, divide the 1st equation by 5, the 2nd equation by 4, results
\n" ); document.write( "s - w = 440
\n" ); document.write( "s + w = 550
\n" ); document.write( "-----------adding eliminates w, find s
\n" ); document.write( "2s = 990
\n" ); document.write( "s = \"990%2F2\"
\n" ); document.write( "s = 495 mph is the speed of the plane
\n" ); document.write( "and
\n" ); document.write( "495 + w = 550
\n" ); document.write( "w = 550 - 495
\n" ); document.write( "w = 55 mph is speed of the wind
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the original 1st equation
\n" ); document.write( "5(495 - 55) =
\n" ); document.write( "5(440) = 2200 \n" ); document.write( "
\n" );