document.write( "Question 1152688: Katie bikes 6mph faster than Dave. Katie can bike 11 miles in the same amount of time that Dave can bike 8 miles. Find their speeds. \n" ); document.write( "
Algebra.Com's Answer #774761 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! let s = Dave's speed \n" ); document.write( "Katie bikes 6mph faster than Dave. \n" ); document.write( "(s+6) = Katie's speed \n" ); document.write( " Katie can bike 11 miles in the same amount of time that Dave can bike 8 miles. \n" ); document.write( "write a time equation; time = dist/speed \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "11s = 8(s+6) \n" ); document.write( "11s = 8s + 48 \n" ); document.write( "11s - 8s = 48 \n" ); document.write( "s = 48/3 \n" ); document.write( "s = 16 mph is D's speed \n" ); document.write( "then \n" ); document.write( "16+6 = 22 mph is K's speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check, find the time of each \n" ); document.write( "8/16 = .5 hrs \n" ); document.write( "11/22 = .5 hrs\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |