document.write( "Question 749783: Two cars are speeding around the race track at different speeds. One goes around the track in two minutes; the other goes around the track in one minute and thirty seconds. How often does the faster car pass the slower car? \n" ); document.write( "
Algebra.Com's Answer #456158 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two cars are speeding around the race track at different speeds. One goes around the track in two minutes; the other goes around the track in one minute and thirty seconds. How often does the faster car pass the slower car? \n" ); document.write( "----- \n" ); document.write( "1st car speed: 120 min per oval \n" ); document.write( "2nd car speed: 90 min per oval \n" ); document.write( "---- \n" ); document.write( "Find the least common multiple: \n" ); document.write( "120 = 2^3*3*5 \n" ); document.write( "90 = 2*3^2*5 \n" ); document.write( "----- \n" ); document.write( "Least common multiple = 2^3*3^2*5 = 360 \n" ); document.write( "-------- \n" ); document.write( "Ans: The pass every 360 min or every 6 hours. \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |