document.write( "Question 404399: A runner starts a race at the starting line. A second runner starts at 44 yards. If the first runner moves 7 yards each second and the second runner moves 3 yards each second, at what distance will the first runner catch the second runner? \n" ); document.write( "
Algebra.Com's Answer #285857 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A runner starts a race at the starting line. A second runner starts at 44 yards. If the first runner moves 7 yards each second and the second runner moves 3 yards each second, at what distance will the first runner catch the second runner?\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "let x = distance the first runner traveled \n" ); document.write( "then x-44 = distance the second runner traveled\r \n" ); document.write( "\n" ); document.write( "time traveled = distance/speed \n" ); document.write( "Both traveled the same amount of time \n" ); document.write( "x/7=(x-44)/3 \n" ); document.write( "3x=7x-(7)(44) \n" ); document.write( "-4x=-(7)(44) \n" ); document.write( "x=77 yards \n" ); document.write( "ans: \n" ); document.write( "The first runner will have traveled a distance of 77 yards to catch up with the second runner \n" ); document.write( " |