document.write( "Question 875440: if trey can clean a house in 6 hours and matt can clean a house in 8 hours. how long would it take for them to clean a house together? \n" ); document.write( "
Algebra.Com's Answer #528184 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Add their rates of cleaning
\n" ); document.write( "Trey's rate:
\n" ); document.write( "( 1 house ) / ( 6 hrs )
\n" ); document.write( "Matt's rate:
\n" ); document.write( "( 1 house ) / ( 8 hrs )
\n" ); document.write( "---------------------------
\n" ); document.write( "Let \"+t+\" = the time in hrs for
\n" ); document.write( "them to clean the house together
\n" ); document.write( "\"+1%2F6+%2B+1%2F8+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+24t+\"
\n" ); document.write( "\"+4t+%2B+3t+=+24+\"
\n" ); document.write( "\"+7t+=+24+\"
\n" ); document.write( "\"+t+=+3.4285+\"
\n" ); document.write( "They can clean the house in 3.4285 hrs
\n" ); document.write( "working together
\n" ); document.write( "
\n" ); document.write( "
\n" );