document.write( "Question 275932: DON CLEAN THE HOUSE IN 3 HOURS. LISA CLEANED IT IN 8 HOURS. HOW LONG WILL IT TAKE THEM TO CLEAN THE HOUSE TOGETHER? \n" ); document.write( "
Algebra.Com's Answer #201190 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
DON CLEAN THE HOUSE IN 3 HOURS. LISA CLEANED IT IN 8 HOURS.
\n" ); document.write( " HOW LONG WILL IT TAKE THEM TO CLEAN THE HOUSE TOGETHER?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required working together
\n" ); document.write( ":
\n" ); document.write( "Let the completed job = 1 (a clean house)
\n" ); document.write( ":
\n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1
\n" ); document.write( "\"t%2F3\" + \"t%2F8\" = 1
\n" ); document.write( "Multiply the equation by 24 to clear the denominators, results
\n" ); document.write( "8t + 3t = 24(1)
\n" ); document.write( "11t = 24
\n" ); document.write( "t = \"24%2F11%7D%7D%0D%0At+=+2%7B%7B%7B2%2F11\" hrs
\n" ); document.write( "or
\n" ); document.write( "2 hrs + (\"2%2F11\"*60) ~ 11 min
\n" ); document.write( "
\n" );