document.write( "Question 785154: An airplane flying with the wind took 3 hrs to cover a distance of 600 miles and 6 hrs to return flying against the same wind. Find the speed of the plane and the velocity of the wind. \n" ); document.write( "
Algebra.Com's Answer #477390 by ankor@dixie-net.com(22740)\"\" \"About 
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An airplane flying with the wind took 3 hrs to cover a distance of
\n" ); document.write( " 600 miles and 6 hrs to return flying against the same wind.
\n" ); document.write( " Find the speed of the plane and the velocity of the wind.
\n" ); document.write( ":
\n" ); document.write( "let s = the speed of the plane in still air
\n" ); document.write( "let w = the speed of the wind
\n" ); document.write( "Then
\n" ); document.write( "(s+w) = the ground speed with the wind
\n" ); document.write( "(s-w) = ground speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each way
\n" ); document.write( "3(s+w) = 600
\n" ); document.write( "6(s-w) = 600
\n" ); document.write( "Simplify, divide the 1st eq by 3, the 2nd eq by 6
\n" ); document.write( "s + w = 200
\n" ); document.write( "s - w = 100
\n" ); document.write( "---------------Adding eliminates w, find s
\n" ); document.write( "2s = 300
\n" ); document.write( "s = 300/2
\n" ); document.write( "s = 150 mph speed of the plane
\n" ); document.write( ":
\n" ); document.write( "150 + w = 200
\n" ); document.write( "w = 200 - 150
\n" ); document.write( "w = 50 mph speed of the wind
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can check the solutions in the original equations \n" ); document.write( "
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