document.write( "Question 889288: Cyclist A takes 6 minutes to complete a lap. Cyclist B takes 4 minutes. If they start together, in how many minutes will B overtake A? \n" ); document.write( "
Algebra.Com's Answer #538093 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Cyclist A takes 1 lap in 6 minutes so has a speed \n" ); document.write( "of 1/6 laps per minute \n" ); document.write( "Cyclist B takes 1 lap in 4 minutes so has a speed \n" ); document.write( "of 1/4 laps per minute \n" ); document.write( "The difference is the speeds is 1/4 - 1/6 \n" ); document.write( "= 3/12 - 2/12 = 1/12 laps per minute \n" ); document.write( "So Cyclist B will pass Cyclist A in 12 minutes \n" ); document.write( "Checking, in 12 minutes, Cyclist A will have completed 12(1/6) = 2 laps \n" ); document.write( "Cyclist B will have completed 12(1/4) = 3 laps \n" ); document.write( " |