document.write( "Question 138768: Mr. Samson can sort the bins in 12 days. If Joe Helps him, it takes only 4 days. How long would it take Joe to sort the bins himself \n" ); document.write( "
Algebra.Com's Answer #101249 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Mr. Samson can sort the bins in 12 days. If Joe Helps him, it takes only 4 days. How long would it take Joe to sort the bins himself \n" ); document.write( "----------------- \n" ); document.write( "Samson DATA: \n" ); document.write( "Time = 12 day/job : Rate = 1/12 job/day \n" ); document.write( "----------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "Time = 4 days/job ; Rate = 1/4 job/day \n" ); document.write( "-------------------- \n" ); document.write( "Joe DATA: \n" ); document.write( "Time = x days/job ; Rate = 1/x job/day \n" ); document.write( "---------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/12 + 1/x = 1/4 \n" ); document.write( "Multiply thru by 12x to get: \n" ); document.write( "x + 12 = 3x \n" ); document.write( "2x = 12 \n" ); document.write( "x = 6 (time Joe would need to do the job alone) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |