document.write( "Question 378012: With a tailwind, a jet flew 2000 miles in 4 hours. The jets return trip against the same wind required 5 hours.
\n" ); document.write( "Find the jets speed and the wind speed. \n" ); document.write( "

Algebra.Com's Answer #268625 by mananth(16946) $\"\"$ $\"About$

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With a tailwind, a jet flew 2000 miles in 4 hours. The jets return trip against the same wind required 5 hours.
\n" ); document.write( "Find the jets speed and the wind speed.
\n" ); document.write( "..
\n" ); document.write( "plane speed = xmph
\n" ); document.write( "current speed = y mph
\n" ); document.write( "..
\n" ); document.write( "with tailwind speed = x+y
\n" ); document.write( "against wind speed = x-y
\n" ); document.write( "..
\n" ); document.write( "2000/(x+y)=4
\n" ); document.write( "4(x+y)=2000
\n" ); document.write( "4x+4y=2000
\n" ); document.write( "/4
\n" ); document.write( "x+y =500 ......................1
\n" ); document.write( "...
\n" ); document.write( "2000/(x-y)=5
\n" ); document.write( "5(x-y)=2000
\n" ); document.write( "5x-5y = 2000
\n" ); document.write( "/5
\n" ); document.write( "x-y = 400......................2
\n" ); document.write( "add 1 & 2
\n" ); document.write( "2x=900
\n" ); document.write( "/2
\n" ); document.write( "x= 450 mph .... speed of plane in still air
\n" ); document.write( "..
\n" ); document.write( "x+y =500
\n" ); document.write( "x+450=500
\n" ); document.write( "x=500-450
\n" ); document.write( "x=50 mph ... speed of wind
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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