document.write( "Question 321168: Elena bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 27km, Elena can bicycle 45km. How fast does each bicyclist travel? \n" ); document.write( "
Algebra.Com's Answer #230007 by mananth(16946)\"\" \"About 
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Let Carlos's speed be x mph
\n" ); document.write( "Elena bicycles 6km/h faster . x+6 mph
\n" ); document.write( "Carlos cycles 27km,
\n" ); document.write( "Elena can bicycle 45km. in the same time.
\n" ); document.write( "time taken by carlos = time taken by Elena
\n" ); document.write( "27/x = 45 / x+6
\n" ); document.write( "45x=27(x+6)
\n" ); document.write( "45x=27x+162
\n" ); document.write( "45x-27x=162
\n" ); document.write( "18x= 162
\n" ); document.write( "x= 162/18
\n" ); document.write( "x=9 mph - Carlos'speed.
\n" ); document.write( "15 mph will be Elena's speed.\r
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