document.write( "Question 267731: a plane takes 3 hours to travel 1,503 miles with the wind. It can travel only 1,179 miles against the wind in the same time. Find the speed of the wind and the speed of the plane in still air. \n" ); document.write( "
Algebra.Com's Answer #196543 by ankor@dixie-net.com(22740)\"\" \"About 
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a plane takes 3 hours to travel 1,503 miles with the wind.
\n" ); document.write( "It can travel only 1,179 miles against the wind in the same time.
\n" ); document.write( " Find the speed of the wind and the speed of the plane in still air.
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\n" ); document.write( "Let s = still air speed of the plane
\n" ); document.write( "Let w = speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(s-w) = effective speed against the wind
\n" ); document.write( "and
\n" ); document.write( "(s+w) = effective speed with the wind
\n" ); document.write( ";
\n" ); document.write( "Write a distance equation for each trip; Dist = time * speed
\n" ); document.write( ":
\n" ); document.write( "3(s + w) = 1503
\n" ); document.write( "3(s - w) = 1179
\n" ); document.write( "we can simplify both of these, divide by 3
\n" ); document.write( "s + w = 501
\n" ); document.write( "s - w = 393
\n" ); document.write( "-------------addition eliminates w
\n" ); document.write( "2s = 894
\n" ); document.write( "s = \"894%2F2\"
\n" ); document.write( "s = 447 mph in still air
\n" ); document.write( ":
\n" ); document.write( "Find w
\n" ); document.write( "447 + w = 501
\n" ); document.write( "w = 501 - 447
\n" ); document.write( "w = 54 mph is the wind
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd equation
\n" ); document.write( "3(447 - 54) =
\n" ); document.write( "3(393) = 1179 mi
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