document.write( "Question 398314: with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and the wind speed. \n" ); document.write( "
Algebra.Com's Answer #282253 by mananth(16946)\"\" \"About 
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with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and the wind speed.
\n" ); document.write( "..
\n" ); document.write( "ground speed = x
\n" ); document.write( "wind speed = y
\n" ); document.write( "..
\n" ); document.write( "t=d/r
\n" ); document.write( "1800/(x+y)= 9/2
\n" ); document.write( "3600/(x+y)=9
\n" ); document.write( "3600 = 9x +9y
\n" ); document.write( "/9
\n" ); document.write( "400=x+y
\n" ); document.write( "x+y=400 ..............................1
\n" ); document.write( "...
\n" ); document.write( "1800/(x-y)=6
\n" ); document.write( "6x-6y=1800
\n" ); document.write( "/6
\n" ); document.write( "x-y=300...............................2
\n" ); document.write( "add (1) & (2)
\n" ); document.write( "2x=700
\n" ); document.write( "/2
\n" ); document.write( "x= 350 mph ground speed
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "wind speed = 350+y=400
\n" ); document.write( "y = 50 mph
\n" ); document.write( " \n" ); document.write( "
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