document.write( "Question 136426: If A can do a job in 5 hrs. and B can do a job in 8 hrs. Together they can do a job in_ hrs. \n" ); document.write( "
Algebra.Com's Answer #99940 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of time it takes A&B to do the job working together \n" ); document.write( "A works at the rate of 1/5 of the job per hour \n" ); document.write( "B works at the rate of 1/8 of the job per hour\r \n" ); document.write( "\n" ); document.write( "Together A & B works at the rate of 1/5+1/8 (LCM is 40) \n" ); document.write( "=8/40 + 5/40=13/40 of the job per hour, so our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(13/40)x=1 (1 job, that is) multiply each side by 40\r \n" ); document.write( "\n" ); document.write( "13x=40 divide each side by 13\r \n" ); document.write( "\n" ); document.write( "x=3.0769 hours-----------------------time it takes A&B to do the job working together\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |