document.write( "Question 78492: An experienced accountant can balance the books twice as fast as a new accountant. Working together, it takes the accountants 10 hours. How long would it take the expereinced accountant working alone. \n" ); document.write( "
Algebra.Com's Answer #56287 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An experienced accountant can balance the books twice as fast as a new accountant. Working together, it takes the accountants 10 hours. How long would it take the expereinced accountant working alone. \n" ); document.write( "---------------- \n" ); document.write( "Exp accountant DATA: \n" ); document.write( "Time = x hr/job ; Rate = 1/x job/hr \n" ); document.write( "---------- \n" ); document.write( "New accountant DATA: \n" ); document.write( "Time = 2x hr/job ; Rate = 1/2x job/hr. \n" ); document.write( "----------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 10 hr/job ; Rate = 1/10 job/hr. \n" ); document.write( "========= \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = rate together \n" ); document.write( "1/x + 1/2x = 1/10 \n" ); document.write( "3x/2x^2 = 1/10 \n" ); document.write( "30x=2x^2 \n" ); document.write( "x=15 hr (time for experienced accountant to do the job) \n" ); document.write( "2x=30 hr (time for the new accountant to do the job) \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |