document.write( "Question 156968: Solve the problem. Frank can type a report in 3 hours and James takes 4 hours. How long will it take the two of them typing together? \n" ); document.write( "
Algebra.Com's Answer #115733 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! frank takes 3 hours to do 1 report. \n" ); document.write( "james takes 4 hours to do 1 report. \n" ); document.write( "common denonimator is 12 hours, so ......... \n" ); document.write( "frank takes 12 hours to do 4 reports. \n" ); document.write( "james takes 12 hours to do 3 reports. \n" ); document.write( "in that same amount of time they both do a total of 7 reports. \n" ); document.write( "take the report and divide it into 7 parts. \n" ); document.write( "give frank 4 of them and give james 3 of them. \n" ); document.write( "if frank can do 1 report in 3 hours, then frank will take 4/7 * 3 hours to do 4/7 of a report. \n" ); document.write( "if james can do 1 report in 4 hours, then james will take 3/7 * 4 hours to do 3/7 of a report. \n" ); document.write( "4/7 * 3 = 1.714 hours. \n" ); document.write( "3/7 * 4 = 1.714 hours. \n" ); document.write( "working together with frank doing 4/7 of the report and james doing 3/7 of the report, they will take 1.714 hours to finish the report. that is roughly one hour and 43 minutes. \n" ); document.write( " |