document.write( "Question 869745: It took a cyclist 6 hours to travel 48 miles going against the wind. The next day on the return trip, it took the cyclist 3 hours traveling with the wind. What was the speed of the cyclist? \n" ); document.write( "
Algebra.Com's Answer #524372 by mananth(16946)\"\" \"About 
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speed of cyclist = x
\n" ); document.write( "speed of wind = y\r
\n" ); document.write( "\n" ); document.write( "with wind speed = x+y
\n" ); document.write( "against wind speed = x-y\r
\n" ); document.write( "\n" ); document.write( "d=rt
\n" ); document.write( "d is same in this case\r
\n" ); document.write( "\n" ); document.write( "r=d/t
\n" ); document.write( "x-y = 180/6
\n" ); document.write( "x-y=30\r
\n" ); document.write( "\n" ); document.write( "x+y=180/3
\n" ); document.write( "x+y=60\r
\n" ); document.write( "\n" ); document.write( "solve for x & y
\n" ); document.write( "2x=90
\n" ); document.write( "x=45
\n" ); document.write( "y=15\r
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