document.write( "Question 1068121: By checking work records, a carpenter finds that Jane can build a small shed in 12 hours. Antoine can do the same job in 16 hours. How long would it take if they worked together? \n" ); document.write( "
Algebra.Com's Answer #683287 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! By checking work records, a carpenter finds that Jane can build a small shed in 12 hours. Antoine can do the same job in 16 hours. How long would it take if they worked together? \n" ); document.write( "------ \n" ); document.write( "Let \"together\" time be x hr/job \n" ); document.write( "Invert that to get rate = (1/x) job/hr \n" ); document.write( "------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/12 + 1/16 = 1/x \n" ); document.write( "16x + 12x = 12*16 \n" ); document.write( "28x = 192 \n" ); document.write( "x = 6.86 hrs = 6hrs 51 min 36 sec \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |