document.write( "Question 926215: A plane travels 1050 miles with a tail wind in 2 hours and 30 minutes and returns in 3 houts and 30 minutes against the head wind. Find the speed of the plane in still air and the wind velocity. \n" ); document.write( "
Algebra.Com's Answer #562085 by lwsshak3(11628)\"\" \"About 
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A plane travels 1050 miles with a tail wind in 2 hours and 30 minutes and returns in 3 hours and 30 minutes against the head wind. Find the speed of the plane in still air and the wind velocity.
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\n" ); document.write( "let x=speed of plane in stll air
\n" ); document.write( "let c=speed of wind
\n" ); document.write( "x+c=speed of plane with tail wind
\n" ); document.write( "x-c=speed of plane with head wind
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( "1050/(x+c)=2.5
\n" ); document.write( "1050/(x-c)=3.5
\n" ); document.write( "..
\n" ); document.write( "2.5x+2.5c=1050
\n" ); document.write( "3.5x-3.5c=1050
\n" ); document.write( "..
\n" ); document.write( "8.75x+8.75c=3675 (mult eq. by 3.5)
\n" ); document.write( "8.75x-8.75c=2625 (mult eq. by 2.5)
\n" ); document.write( "add
\n" ); document.write( "17.5x=6300
\n" ); document.write( "x=360
\n" ); document.write( "2.5c=1050-2.5x=1050-900=150
\n" ); document.write( "c=60
\n" ); document.write( "speed of plane in stll air=360 mph
\n" ); document.write( "speed of wind=60 mph
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