document.write( "Question 313765: Elena bicycles 7 km/h faster than Praedup. In the same time it takes Praedup to bicycle 30 km, Elena can bicycle 51 km. How fast does each bicyclists travel? \n" ); document.write( "
Algebra.Com's Answer #224363 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Praedup cycles at x mph.
\n" ); document.write( "Elena cycles at x+7 mph.
\n" ); document.write( "..
\n" ); document.write( "distance traveled by Elena is 51 km.
\n" ); document.write( "diatance traveled by Praedup = 30 km.
\n" ); document.write( "..
\n" ); document.write( "Time taken by Praedup = 30/x
\n" ); document.write( "Time taken by Elena = 51/x+7.
\n" ); document.write( "..
\n" ); document.write( "These two times are same.
\n" ); document.write( "..
\n" ); document.write( "30/x = 51 / x+7
\n" ); document.write( "30(x+7)= 51x
\n" ); document.write( "30x+210=51x
\n" ); document.write( "21x=210
\n" ); document.write( "x=10 km/hr. speed of Praedup
\n" ); document.write( "Speed of elena = 17 km/hr\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );