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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |