document.write( "Question 827635: Two runners A and B are practicing in a round track going in opposite directions. Runner A takes 40 minutes to go once around the track. The two begin at the same time and meet every 15 minutes. How long does B take to go once around the track? \n" ); document.write( "
Algebra.Com's Answer #498812 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two runners A and B are practicing in a round track going in opposite directions. Runner A takes 40 minutes to go once around the track. The two begin at the same time and meet every 15 minutes. How long does B take to go once around the track? \n" ); document.write( ": \n" ); document.write( "Let's assume the track length is 12000 meters \n" ); document.write( "then \n" ); document.write( "12000/40 = 300 m/min is A's speed \n" ); document.write( "A travels 15 * 300 = 4500 meters in 15 min \n" ); document.write( "therefore \n" ); document.write( "B travels 12000 - 4500 = 7500 meters in 15 min \n" ); document.write( "therefore \n" ); document.write( "7500/15 = 500 m/min is B's speed \n" ); document.write( "Find how long to travel 12000 meters at this speed \n" ); document.write( "12000/500 = 24 min for B to travel around the track \n" ); document.write( " |