document.write( "Question 838087: in a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many will A beat C in a race of 400 metres? \n" ); document.write( "
Algebra.Com's Answer #505109 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! in a race of 600 metres, A can beat B by 60 metres and \n" ); document.write( " in a race of 500 metres, B can beat C by 50 metres. \n" ); document.write( " By how many will A beat C in a race of 400 metres? \n" ); document.write( ": \n" ); document.write( "Let's assume A finishes the 600 m race in 60 sec, then \n" ); document.write( "600/60 = 10 m/sec is his speed \n" ); document.write( "B traveled (600-60 = 540 m in 60 sec, therefore \n" ); document.write( "540/60 = 9 m/sec is B's speed \n" ); document.write( ": \n" ); document.write( "\"in a race of 500 metres, B can beat C by 50 metres.\" \n" ); document.write( "500/9 = 55.56 sec is B's time to finish a 500 m race \n" ); document.write( "C traveled 500-50 = 450 m in 55.56 sec, therefore \n" ); document.write( "450/55.56 = 8.1 m/sec is C's speed \n" ); document.write( ": \n" ); document.write( "By how many will A beat C in a race of 400 metres? \n" ); document.write( "400/10 = 40 sec for A to run a 400 m race \n" ); document.write( "C will travel 8.1*40 = 324 m in 40 sec \n" ); document.write( "therefore \n" ); document.write( "C will be 400-324 = 76 m behind when A crosses the finish line \n" ); document.write( " |