document.write( "Question 815195: A jet travels 4912 miles against the wind in 8 hours and 6192 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind? \n" ); document.write( "

Algebra.Com's Answer #490758 by mananth(16946) $\"\"$ $\"About$

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Plane speed =x mph
\n" ); document.write( "wind speed =y mph
\n" ); document.write( "against wind 8 hours
\n" ); document.write( "with wind 8 hours
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\n" ); document.write( "Distance with wind 6192 miles distance against wind 4912
\n" ); document.write( "t=d/r against wind (x-y)
\n" ); document.write( "4912.00 / ( x - y )= 8.00
\n" ); document.write( "
\n" ); document.write( "8.00 x - -8.00 y = 4912.00 ....................1
\n" ); document.write( "with wind (x+y)
\n" ); document.write( "6192.00 / ( x + y )= 8.00
\n" ); document.write( "8.00 ( x + y ) = 6192.00
\n" ); document.write( "8.00 x + 8.00 y = 6192.00 ...............2
\n" ); document.write( "Multiply (1) by 1.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "we get 2.00
\n" ); document.write( "8.00 x + -8.00 y = 4912.00
\n" ); document.write( "8.00 x + 8.00 y = 6192.00
\n" ); document.write( "16.00 x = 11104.00
\n" ); document.write( "/ 16.00
\n" ); document.write( "x = 694 mph
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\n" ); document.write( "plug value of x in (1) y
\n" ); document.write( "8 x -8 y = 4912
\n" ); document.write( "5552 -8 -5552 = 4912
\n" ); document.write( "-8 y = 4912
\n" ); document.write( "-8 y = -640 mph
\n" ); document.write( " y = 80
\n" ); document.write( "Plane 694 mph
\n" ); document.write( "wind 80 mph
\n" ); document.write( " \n" ); document.write( "

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