document.write( "Question 182495: a homeowner estimates that it will take her 9 days to roof her house. A professional roofer estimates that he could roof the house in 4 days. how long will it take if the homeowner helps the roofer? \n" ); document.write( "
Algebra.Com's Answer #136983 by HyperBrain(694)![]() ![]() ![]() You can put this solution on YOUR website! Let x=no. of days it will take the two to finish the job. \n" ); document.write( "... \n" ); document.write( "After x days, the homeowner has done x/9 of the job, while the roofer has done x/4 of the job. Furthermore,\r \n" ); document.write( "\n" ); document.write( "(x/4)+(x/9)=1 \n" ); document.write( "multiply both sides by 36. \n" ); document.write( "9x+4x=36 \n" ); document.write( "13x=36 \n" ); document.write( "x=36/13=2 10/13 days\r \n" ); document.write( "\n" ); document.write( "Power up, \n" ); document.write( "HyperBrain!\r \n" ); document.write( "\n" ); document.write( "visit my blog here \n" ); document.write( " |