document.write( "Question 834844: it takes two people working together 12 minutes to file a report. one works six times faster than the other. how long will it take each person to file the report separately? \n" ); document.write( "
Algebra.Com's Answer #503207 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! it takes two people working together 12 minutes to file a report. one works six times faster than the other. how long will it take each person to file the report separately? \n" ); document.write( "------ \n" ); document.write( "Together rate:: 1/12 job/min \n" ); document.write( "One worker rate: 1/x job/min \n" ); document.write( "Other worker rate: 1/6x job/min \n" ); document.write( "------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "------ \n" ); document.write( "1/x + 1/(6x) = 1/12 \n" ); document.write( "------------------------ \n" ); document.write( "Multiply thru by 12x to get:: \n" ); document.write( "12 + 2 = x \n" ); document.write( "------- \n" ); document.write( "x = 14 minutes (time for one worker to do the job alone) \n" ); document.write( "6x = 84 minutes (time for the other) \n" ); document.write( "---------------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================== \n" ); document.write( " |