document.write( "Question 420204: With a tailwind a jet flew 10000 miles In 4 hours the jets return trip against the same tailwind was 5 hours find the jets speed and the wind speed \n" ); document.write( "

Algebra.Com's Answer #293684 by mananth(16946) $\"\"$ $\"About$

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against wind 5 hours
\n" ); document.write( "with wind 4 hours
\n" ); document.write( "
\n" ); document.write( "Distance = same
\n" ); document.write( "Jet speed =x
\n" ); document.write( "wind speed =y
\n" ); document.write( "t=d/r
\n" ); document.write( "10000 / ( x - y )= 5.00
\n" ); document.write( "5 ( x - y ) = 10,000.00
\n" ); document.write( "5 x -5 y = 10000 ....................1
\n" ); document.write( "10000 / ( x + y )= 4
\n" ); document.write( "4 ( x + y ) = 10000
\n" ); document.write( "4 x + 4 y = 10000 ...............2
\n" ); document.write( "Multiply (1) by 4
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "we get
\n" ); document.write( "20 x -20 y = 40000
\n" ); document.write( "20 x + 20 y = 50000
\n" ); document.write( "40 x = 90000
\n" ); document.write( "/ 40
\n" ); document.write( "x = 2250 mph Jet speed
\n" ); document.write( "
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "5 x -5 y = 10000
\n" ); document.write( "11250 -5 y = 10000
\n" ); document.write( "-5 y = 10000 -11250
\n" ); document.write( "-5 y = -1250
\n" ); document.write( " y = 250 mph wind speed
\n" ); document.write( " \n" ); document.write( "

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