document.write( "Question 1024824: A cyclists completes a journey of 1500m in 66sec, part of the way at 10m/s and the remainder at 50m/s. How far does he travel at each speed? \n" ); document.write( "
Algebra.Com's Answer #640201 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A cyclists completes a journey of 1500m in 66sec, part of the way at 10m/s and the remainder at 50m/s. \n" ); document.write( " How far does he travel at each speed? \n" ); document.write( ": \n" ); document.write( "Let t = time at 50 m/s \n" ); document.write( "then \n" ); document.write( "(66-t) = time at 10 m/s \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( "50t + 10(66-t) = 1500 \n" ); document.write( "50t + 660 - 10t = 1500 \n" ); document.write( "50t - 10t = 1500 - 660 \n" ); document.write( "40t = 840 \n" ); document.write( "t = 840/40 \n" ); document.write( "t = 21 sec at 50 m/s \n" ); document.write( "then \n" ); document.write( "21*50 = 1050 meters at 50 m/s \n" ); document.write( "and \n" ); document.write( "66-21 = 45 sec at 10 m/s \n" ); document.write( "then \n" ); document.write( "45 * 10 = 450 meters at 10 m/s \n" ); document.write( " |