document.write( "Question 857190: hi - trying to help my middle schooler with this problem - i need help!\r
\n" ); document.write( "\n" ); document.write( "Flying with the wind, a pilot travels 600 miles twn 2 cities in 4 hours. The return trip into the wind takes 5 hours. The speed of the wind remains constant during the trip. Find the average speed of the plane with no wind and the speed of the wind.\r
\n" ); document.write( "\n" ); document.write( "Thank you!! \n" ); document.write( "
Algebra.Com's Answer #516409 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Flying with the wind, a pilot travels 600 miles twn 2 cities in 4 hours. The return trip into the wind takes 5 hours. The speed of the wind remains constant during the trip. Find the average speed of the plane with no wind and the speed of the wind.
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\n" ); document.write( "let x=speed of plane with no wind
\n" ); document.write( "let c=speed of wind
\n" ); document.write( "x+c=speed of plane with wind
\n" ); document.write( "x-c=speed of plane against wind
\n" ); document.write( "travel time*speed=distance
\n" ); document.write( "..
\n" ); document.write( "4(x+c)=600
\n" ); document.write( "5(x-c)=600
\n" ); document.write( "..
\n" ); document.write( "4x+4c=600
\n" ); document.write( "5x-5c=600
\n" ); document.write( "..
\n" ); document.write( "20x+20c=3000 (mult. by 5)
\n" ); document.write( "20x-20c=2400 (mult. by 4)
\n" ); document.write( "add
\n" ); document.write( "40x=5400
\n" ); document.write( "x=135
\n" ); document.write( "4c=600-4x=60
\n" ); document.write( "c=15
\n" ); document.write( "..
\n" ); document.write( "speed of plane with no wind=135 mph
\n" ); document.write( "speed of wind=15 mph
\n" ); document.write( " \n" ); document.write( "
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